A class has 30-40 students. Each boy in the class bring 15 chocolate bars for a class party to celebrate Teacher's Day. The chocolate bars are shared equally among the 20 girls of the class and their form teacher with no leftovers. (i) How many students are there in the class?
Detailed steps please!

9514 1404 393

  34

Step-by-step explanation:

In order to divide some multiple of 15 chocolate bars evenly by 21, the number of bars must be a multiple of the LCM of 15 and 21, which is 105. That number is 7 times 15, indicating the number of boys in the class must be a multiple of 7. The only number between 30-20 = 10 and 40-20 = 20 that is a multiple of 7 is 14.

There must be 14 boys in the class, so 34 students in total.

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The boys brought a total of 210 chocolate bars, so each girl and the teacher received 10 of them.

answer: no, but if it does it's a obvious pattern.

step-by-step explanation: