Noah's class held a food drive for the holidays. There are a total of 25 students in his class. On average, each boy and each girl brought in 3 cans of food apiece. If the class brought in a total of 75 cans of food, how many boys and how many girls are in the class?

Question

Mathematics

Marlie Shelton

23 May, 15:34

Noah's class held a food drive for the holidays. There are a total of 25 students in his class. On average, each boy and each girl brought in 3 cans of food apiece. If the class brought in a total of 75 cans of food, how many boys and how many girls are in the class?

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Answers (1)

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Shea Watson · Answer 1

Let

x: number of boys in the class.

y: number of girls in the class.

We must make a system of two equations with two unknowns to determine the number of boys and girls in the class.

The system that best represents the problem is

x + y = 25

3x + 3y = 75

Note that the equations are linearly dependent. Therefore, the solution is not unique.

answer:

the number of girls and boys is obtained through the system of equations:

x + y = 25

3x + 3y = 75

For this case, the system is linearly dependent. (Therefore, I can only give you the answer as to how the problem is solved and not an exact value).