Question

4) At a school fundraiser, students charge $10 to wash a car and $20 to wash an SUV. They make $1700 by washing 105 total vehicles. How many of each kind do they wash?​

Answer 1

To solve the problem, we can let x be the number of cars washed and y be the number of SUVs washed. We have two equations based on the given information:

x + y = 105, since the total number of vehicles washed is 105.

10x + 20y = 1700, since the students made $1700 by washing cars and SUVs.

To simplify the second equation, we can divide both sides by 10:

x + 2y = 170

We can solve for one variable by subtracting the first equation from the second:

x + 2y - (x + y) = 170 - 105

This simplifies to:

y = 65

We can then substitute y = 65 into the first equation to find x:

x + 65 = 105

This simplifies to:

x = 40

Therefore, the students washed 40 cars and 65 SUVs to make $1700 at the fundraiser.