row_id
int64
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36.7k
QuestionId
int64
31.8k
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QuestionText
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15 values
MC_Answer
stringclasses
49 values
StudentExplanation
stringlengths
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586
Category
stringclasses
6 values
Misconception
stringclasses
35 values
10,400
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 120 divided by 5 x 3 is 72
True_Correct
null
10,401
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 120 divided by 5 x by 3
True_Correct
null
10,402
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 120 divided by 5=24 so that means 24x3 and that is 72
True_Correct
null
10,403
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 120 divided by five is 24 24 times 3 is 72
True_Correct
null
10,404
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 120 divided by the denominator is 24 and multiplied by the numerator which is 3 gives us 72
True_Correct
null
10,405
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 120 divided by three is 24 and 24X3 is 74
True_Correct
null
10,406
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 120 divided in 5 makes 24 and 24 x 3 is 72
True_Correct
null
10,407
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 150 divided by 5 is 24 x 3 = 72 as 20+20+20 = 60 +12 =72
True_Correct
null
10,408
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 2.5 is half and the rest are below and the other is the same as half
True_Neither
null
10,409
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 2/10 is 24 and 6/10 is 72 so 3/5 must be 72
True_Correct
null
10,410
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 20% is 24 so i times that by 3
True_Correct
null
10,411
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 3 out of 5 is about 70 percent 72 is the biggest number
True_Neither
null
10,412
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 3 x 120 = 360 and 5 goes into 360 72 times
True_Correct
null
10,413
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 3/5 is 72 i know this because i previously found that the amount of blues is 48 and 48+72 is 120
True_Correct
null
10,414
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 3/5 is 72 i know this because i previously found that the amount of blues is 48 and 48+72 is 120
True_Correct
null
10,415
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 3/5 of 120 is 72 because 5*24=120 then 24*3=72
True_Correct
null
10,416
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 3/5 of 120 is 72 that means that there are 72 counters
True_Correct
null
10,417
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 3/5 of 120=74 so there are 74 red counters
True_Correct
null
10,418
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 3/5 x 120/1 = 360/5 and 360 divided by 5 = 72
True_Correct
null
10,419
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 5 divided by 120 = 24 and then 24 x 3= 72
True_Correct
null
10,420
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 5 divided by 120 is 24 and 24 times by 3 is 72
True_Correct
null
10,421
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 5 divided by 120 is 24 so then you times 24 by 3 and your answer is 72
True_Correct
null
10,422
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 5 into 120 is 24 so that is one fith time 24 by 3 is 72
True_Correct
null
10,423
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 5 times 24 is 120 and 24 times 3 is 72.
True_Correct
null
10,424
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 60 is half and i need 3/5 and the only answer that is higher than 60 is 72
True_Correct
null
10,425
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 72 divided by 3 is 24 and then you times 24 by 3 which is 72
True_Correct
null
10,426
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because 72 is the only one bigger than 60
True_Correct
null
10,427
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because I did 120 divided by 5 which = 24 then I x that answer by 3 which got me 72
True_Correct
null
10,428
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because I divided 120 by five then timesed the answer by 3
True_Correct
null
10,429
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because all the other ones are less than half
True_Correct
null
10,430
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because divide 120 by 5 then times by 3
True_Correct
null
10,431
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because divide 120 by 5 which is 24 then times 24 by 3 which is 72
True_Correct
null
10,432
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because each 1/10 ( because i changed the 5ths to 10ths) = 12 so 6 of those = 72
True_Correct
null
10,433
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because hal is 60 and is over half
True_Correct
null
10,434
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because half is 60 and it has got to be more than 60 so the answer is 72
True_Correct
null
10,435
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i did 120 divided by 5 which was 24 times by 3 because it is 3/5 not 1/5 which is 72
True_Correct
null
10,436
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i did 120 divided by 5 and then i timsed it by 3
True_Correct
null
10,437
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i did 120 divided by 5 then timsed it by 3
True_Correct
null
10,438
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i did 3/5 of 120 and the answer gave me 72
True_Correct
null
10,439
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i did 3/5 of 120 so divide 120 by 5 which is 24 then times 24 by 3 which is 72 .
True_Correct
null
10,440
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i divided 120 by 5 and then times by 3
True_Correct
null
10,441
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i divided 120 by 5 then i got 24 then i times it by 3 which was 72
True_Correct
null
10,442
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i first divided the number by 5 and divided it by 3
True_Neither
null
10,443
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i found out what 1\5 were and then times 24 by 3
True_Correct
null
10,444
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i just did 3/5 is worth 72
True_Correct
null
10,445
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i know there is more then half red and 60 is half so it has to be 70
True_Correct
null
10,446
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because i worked it out by dividing it by five and timed it by three
True_Correct
null
10,447
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if u divide it by 5 then u time it u get 72
True_Correct
null
10,448
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you change the fraction 3/5 into a percentage you get 60% and 60% of 120 is 72
True_Correct
null
10,449
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you divide 120 by 5 = 24 then times 24 by 3 = 72
True_Correct
null
10,450
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you divide 120 by 5 = 24 then times it by 3 = 72
True_Correct
null
10,451
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you divide 120 by 5 then times it by 3 it equals 72
True_Correct
null
10,452
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you divide 120 by 5 you would get 24 and then you multiply it by 3 to get 72
True_Correct
null
10,453
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you divide 120 by three and times it by five you get 72
True_Correct
null
10,454
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you divide by 5 then times by 3 you get
True_Correct
null
10,455
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you divide it by 5 yo would get 24 then times that by 3 you'd get 72
True_Correct
null
10,456
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you do 72 divided by 12 you get 72
True_Neither
null
10,457
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you find 3/5 of 120 first you have to divid 120 by 5 then times your answer by 3
True_Correct
null
10,458
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you find the1/5 and times it by three you get 72
True_Correct
null
10,459
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you find what 1/5 is then you times it by three you get 72
True_Correct
null
10,460
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you take 3/5 and turn it into a percentage it would be 60% and 10% is twelve so 50% is sixty and then you add sixty and twelve together and it equals seventy two
True_Correct
null
10,461
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you turn 3/5 into 6/10 then you can dived by 10. Then it gets to 12 and you times by 6 to get 72 and that is the answer.
True_Correct
null
10,462
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because if you used a bar model and put24 in each one and took out 3/5 of them and do 24x3 which is 72
True_Correct
null
10,463
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because is meaning 60 over a half
True_Neither
null
10,464
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it is =24x3 so that 72
True_Correct
null
10,465
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it is more than a half
True_Correct
null
10,466
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it is more than a half of 120
True_Correct
null
10,467
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it is more than half and more than a quarter
True_Correct
null
10,468
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it is the bigger number
True_Neither
null
10,469
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it is the only logical option
True_Neither
null
10,470
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it the biggest one out of all of them
True_Neither
null
10,471
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it will be a bigger perctage
True_Neither
null
10,472
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because it would have to be more than 60 which is half of 120
True_Correct
null
10,473
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because its more than half of the number
True_Correct
null
10,474
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because its the only logical option
True_Neither
null
10,475
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because more than half are red so it must be higher than 60 but still have 2 over 5 worth of blue
True_Correct
null
10,476
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because on fifth of 120 is 24... 3 fifths is 24 x 3 is 72
True_Correct
null
10,477
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because one fifth is 24 and then 24x3 is 72
True_Correct
null
10,478
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because one fifth of 120 is 24 and then 24 times 3 is 72
True_Correct
null
10,479
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because one fifth of the counters is 24 so 24 x 3 is the same as 12 x 6 and 12 x 6 = 72
True_Correct
null
10,480
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because one fith is 24 and times 3 is 72
True_Correct
null
10,481
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because there are 24 fives in 120 and because it's 3 over 5 u times 24 by three which is 72 thee answer to a
True_Correct
null
10,482
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because they both equal into the 70s
True_Neither
null
10,483
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because we did the division method
True_Neither
null
10,484
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because when u divide 120 by 5 its 24. 24 times 3 is 72.
True_Correct
null
10,485
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because when you divide the number by 5 then x it by 3 then youll always get the answer of 3 over5 of somthing
True_Correct
null
10,486
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because when you do 120 divided by 5 it equals 24. then you do 24 times by 3 then you get the answer of 72
True_Correct
null
10,487
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because yo need to divide 120 by 5 then you get 24 then times 24 by 3 then you get 72
True_Correct
null
10,488
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you Divide by 5 to get one fith and then times by 3 to get 3 fiths
True_Correct
null
10,489
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you divide 120 by 5 and then times the answer by 3
True_Correct
null
10,490
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you divide 120 by 5 then you times 24 by three then you get 72
True_Correct
null
10,491
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you divide 120 by 5 then you times it by 3 then you get 72
True_Correct
null
10,492
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you divide by the bottom and times by the top
True_Correct
null
10,493
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you divide it by ten and then you times it by 6
True_Correct
null
10,494
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you do 120 divides by 5 =24 times 3=72
True_Correct
null
10,495
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you do 120divided by 5 =24 then you times it by 3=72
True_Correct
null
10,496
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you do 3/5 out of 120 and it equals the red counter.
True_Correct
null
10,497
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you do 5 into 120 which equals 24 then you do 3 x24 which makes 24
True_Correct
null
10,498
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you do divide by the bottom times by the top
True_Correct
null
10,499
31,777
A box contains \( 120 \) counters. The counters are red or blue. \( \frac{3}{5} \) of the counters are red. How many red counters are there?
\( 72 \)
because you do divide by the bottom times by the top
True_Correct
null