The Camp Courage Club plans to sell tins of popcorn and peanuts as a fundraiser. Each tin of popcorn costs $3 and each tin of peanuts costs $4.

Question

They want to make at least $432 but only have a total of 200 tins to sell.

A. define your variables and write a system of inequalities to represent the situation

C. what is a possible combination of popcorn tins and peanut tins for the Club to meet their goal?

Answer 1

3C + 4N > 432, C=popcorn, N = peanuts

C + N = 200

100 of each tin would raise 300+400 = $700 > $432

200 of peanut tins would raise $800

200 of popcorn tins would raise $600

any combination of C and N that sum to 200 would raise between $600 to $800, all over $432

IF they just want to raise $432, 100 popcorn tins plus 33 peanut tins would raise exactly $432 with 68 tins left over unsold. 100(3) + 33(4) = 300+ 132 = 432