Question

The girl soccer team held a fundraising car wash. They charged $5 for each car and $8 for each van. They washed 44 cars and vans and collected $262. How many of each type of vehicle did they wash

Answer 1

number of cars: x = 30

number of vans: x = 14

Explanation:

For 44 cars, the amount they collected would have been 44*5 = 220 dollars, but the total was 262 dollars, which is 42 dollars more.

Each van costs $3 more than each car. $42 "extra", divided by $3 "extra" for each van, means 42/3 = 14 vans. And that leaves 30 cars.

check: 30(5)+14(8) = 150+112 = 262

or, using algebra...

let x = the number of cars

then 44-x = number of vans