Question

A van travels 150 miles on 6 gallons of gas.How many gallons will it need to travel 325 miles?

Answer 1

13

Step-by-step explanation:

The Ratio of miles traveled to gallons of gas used is

`(150)/(6)`

and if we call x the number of gallons required to travel 325 miles, then the ratio of miles travelled to the number of gallons is

`(325)/(x)`

this must equal 150/6; therefore,

`(150)/(6)=(325)/(x)`

Cross multipication gives

`150x=325\cdot6`

dividing both sides by 150 gives

`x=(325\cdot6)/(150)`

which simplifies to give

`\boxed{x=13}`

which is our answer!