Question

A car can travel 161 miles on 7 gallons of gas. how much gas will it need to go 368 miles?

Answer 1

16 gallons of gas

Explanation:

Two ways to answer this

1:

Find how many miles per gallon the car can go. Then, divide the amount the car needs to go with the miles per gallon. This gets you the gallons of gas needed to go the amount. In this case, 161 ÷ 7 = 23. 368 ÷ 23 = 16.

2:

Make a proportion.
`(161)/(7) = (368)/(x)`. Solve for x. 161 and 7 cancel out to get 23.
`(23)/(1) = (368)/(x)`. Now you can either divide 368 and 23 and multiply the quotient by 1 to get x, or you can cross multiply to get an equation you can solve. In the first case, 368 ÷ 23=16. 1*16=16. x=16. In the second case, 23x=368. Divide both sides by 23 and you get x = 16.