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?

Respuesta :

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
[tex] \frac{20}{4}[/tex] =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.

Answer:

[tex]87.5 \\[/tex] miles

Step-by-step explanation:

Distance traveled in [tex]18\\[/tex] gallons of gas [tex]= 315 miles\\[/tex]

Distance traveled in [tex]1\\[/tex] gallon of gas [tex]= 17.5 miles\\[/tex]

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

[tex]= \frac{1}{4} * 20\\= 5\\[/tex] gallons

Distance traveled in remaining [tex]5\\[/tex] gallons of gas

[tex]= 5 * 17.5\\= 87.5 \\[/tex] miles

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