The amount of candy shablack by the class varies inversely with the number of students in the class. If there are 120 pieces of candy, how much would each student receive in a class of 30?

andg17o7

andg17o7

Answered question

2022-09-04

The amount of candy shablack by the class varies inversely with the number of students in the class. If there are 120 pieces of candy, how much would each student receive in a class of 30?

Answer & Explanation

Mateo Tate

Mateo Tate

Beginner2022-09-05Added 18 answers

The amount of candy C varies inversely with the number N of students in the class.
That tells is immediately that C N = 1
In this case we are sharing the candy amongst students, so the multiplier is the number of pieces of candy each student receives R.
Then our operating equation is C N = 1 R = R
Inserting given values: C N = R 120 p c s 30 = R = ( 4 p c s )
So each student receives 4pcs of candy.
If there were only 20 students in the next class sharing the same candy, the same formula could be used:
C N = R 120 p c s 20 = R = ( 6 p c s )
So here, each student receives 6pcs of candy.

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