A recycling center pays $0.10 per aluminum can and $0.05 per plastic bottle. The Cheerleading squad wants to raise $500. Let x represent aluminum cans and y represent plastic bottles. Use this description to answer all questions in this section.

Question:

(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.

b. 2000 cans

Step-by-step explanation:

We have the following:

per aluminum

per plastic bottle

Solving (a): The linear equation.

If 1 aluminum can costs $0.10,

x cans would cost $0.10x

If 1 plastic bottle costs $0.05,

y bottles would cost $0.05y

Total Cost:

b.

If y = 6000.

Solve for x

We have:

Substitute 6000 for y

Collect Like Terms

Solve for x

move it to the other side

step-by-step explanation: