Question

Bryan is taking a road trip to Dallas, Texas. His car can travel 315 miles with 18 gallons of gas. Bryan's s car holds 20 gallons of gas. Suppose Bryan's gas gauge indicates that he has one-fourth tank of gas left, how many more miles can Bryan travel before he runs out of gas?

Answer 1

`87.5 \\` miles

Explanation:

Distance traveled in
`18\\` gallons of gas
`= 315 miles\\`

Distance traveled in
`1\\` gallon of gas
`= 17.5 miles\\`

Gas left in the tank as indicated by Bryan's gas gauge

`= (1)/(4) * 20\\= 5\\` gallons

Distance traveled in remaining
`5\\` gallons of gas

`= 5 * 17.5\\= 87.5 \\` miles

Answer 2

1) Find the unit rate
315÷18=17.5
2) See how many miles he can go on a full tank of gas
17.5×20=350
3) Find how much gas total is in the tank

`(20)/(4)` =5 gallons
4) Find how many miles he has left before his tank is empty
17.5×5=87.5


He has 87.5 miles left to go before he runs out of gas.