A recycling center pays $0.10 per aluminium can and $0.05 per plastic bottle. The cheerleading squad want to raise $500.

a. Write a linear equation that describes the problem.

b. If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?

Question

Mathematics

Sullivan Villarreal

18 September, 10:37

A recycling center pays $0.10 per aluminium can and $0.05 per plastic bottle. The cheerleading squad want to raise $500.

a. Write a linear equation that describes the problem.

b. If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?

+5

Answers (1)

Know the Answer?

Jamari Wiggins · Answer 1

A. To answer this item, we let x be the number of aluminum cans and y be the number of plastic bottles. With this representation, the total money that is gained from the sales is 0.10x and 0.05y. The equation then becomes,

0.10x + 0.05y = 500

B. If the value of y is 6000 then,

0.10x + 0.05 (6000) = 500

The value of x is 2000.

A recycling center pays $0.10 per aluminium can and $0.05 per plastic bottle. The cheerleading squad want to raise $500.a. Write a linear equation that describes the problem.b. If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?

A recycling center pays $0.10 per aluminium can and $0.05 per plastic bottle. The cheerleading squad want to raise $500.

a. Write a linear equation that describes the problem.

b. If the cheerleading squad collects 6000 plastic bottles, how many cans will it need to collect to reach the goal?