QuestionChloe's car uses 15 gallons for 570 miles. How many gallons for 380 miles? Use the ratio to find the answer.

Studdy Solution

STEP 1

Assumptions1. Chloe's car used15 gallons of gas to travel570 miles. . The fuel efficiency of the car remains constant.
3. We need to find out how many gallons of gas would be needed to travel380 miles.

STEP 2

First, we need to find the fuel efficiency of the car. We can do this by dividing the total distance travelled by the amount of gas used.
$Fuel\, efficiency = Total\, distance\, travelled / Amount\, of\, gas\, used$

STEP 3

Now, plug in the given values for the total distance travelled and the amount of gas used to calculate the fuel efficiency.
$Fuel\, efficiency =570\, miles /15\, gallons$

STEP 4

Calculate the fuel efficiency.
$Fuel\, efficiency =570\, miles /15\, gallons =38\, miles/gallon$

STEP 5

Now that we have the fuel efficiency, we can find out how many gallons of gas would be needed to travel380 miles. This can be done by dividing the total distance to be travelled by the fuel efficiency.
$Gas\, needed = Total\, distance\, to\, be\, travelled / Fuel\, efficiency$

STEP 6

Plug in the values for the total distance to be travelled and the fuel efficiency to calculate the amount of gas needed.
$Gas\, needed =380\, miles /38\, miles/gallon$

STEP 7

Calculate the amount of gas needed.
$Gas\, needed =380\, miles /38\, miles/gallon =10\, gallons$ Chloe would need10 gallons of gas to travel380 miles.

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