Please solve for y

Question

To raise funds for uniforms and travel expenses, the softball team is having a car wash. The team spent $125 on supplies for the car wash. They plan to charge $15 per car and $25 per truck. Their goal is to raise $850

Answer 1

Fixed costs are $125. Variable labor costs appear to be zero, for volunteer workers

revenue function is 15C+10T where C=number of cars washed and T=number of trucks washed

Profit is Revenue minus Costs, P=R-C

P=15C+10T-125

For profits to equal 850

850=15C+25T-125

975=15C+25T

195=3C+5T

Either wash C=975/15 = 195/3 = 65 cars

or wash T=975/25 = 195/2 = 39 trucks

or some combination of the two where 3C+5T=195