Question

A class between 30 to 40 students.Each boy in the class brings 15 chocolate bars for a class party to celebrate Teachers Day.The chocolate bar are shared equally among the 20 girls of the class and their form teacher with no leftovers
(1): how many students are there in the class?
(2): how many chocolate bars does their form teacher receive?

Answer 1

Therefore there are 20 girls

there are between 10 and 20 boys

since each boys brought 15 chocolate bars

so there are between 150 and 300 chocolate bars and therefore the number of chocolate bars is a multiple of 15.

The chocolate bars are shared equally among 21 peoples(the girls and the teachers with no leftover).

Therefore the number of bar is also a multiple of 21.

Therefore the number of chocolate bars is the multiple of the least common multiple of 15 and 21 which is 105.

So there are 105× chocolate bars for some positive integer×.

since the number of chocolate bars is between 150 and 300.

150=105×=300

Divide all three parts by 105

1.428571429=k=2.857142857

so,2=k=2

Therefore k=2

therefore there are 105×=105(2)=210 chocolate bars.

since everybody brought 15, there are 210/15=14boys.

since there are 20 girls and 14 boys, there are

20+14=34 student in the class.

since every girl and the teacher shared the 210 chocolate bars.

every gir and the form teacher received 210/21=10 chocolate bars.

solution: 34 students in the class.

the form teacher received 10 chocolate bars.

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