SOLUTION: At a constant speed, the gasoline a car uses varies directly with the distance the car travels. A car uses 10 gallons of gasoline to travel 210 miles. How many gallons will the c

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Question 872068: At a constant speed, the gasoline a car uses varies directly with the
distance the car travels. A car uses 10 gallons of gasoline to travel
210 miles. How many gallons will the car use to travel 294 miles?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
This is a variation problem.

v for volume of fuel
d for distance
k is a constant

v=k%2Ad, "the gasoline a car uses varies directly with the
distance the car travels."
-
k=v%2Fd

A car uses 10 gallons of gasoline to travel
210 miles. Meaning in symbols is k=10%2F210=1%2F21 gallons/mile.

The question: How many gallons will the car use to travel 294 miles?
The formula, v=kd
highlight%28v=%281%2F21%29294%29

Answer by MathTherapy(10551) About Me  (Show Source):
You can put this solution on YOUR website!

At a constant speed, the gasoline a car uses varies directly with the
distance the car travels. A car uses 10 gallons of gasoline to travel
210 miles. How many gallons will the car use to travel 294 miles?


Let amount of gallons of gas be G

Then: 10%2FG+=+210%2F294

10%2FG+=+5%2F7 ------ Simplifying right-side of equation by dividing it by 42%2F42

5G = 70 ------ Cross-multiplying

G or amount of gas = 70%2F5, or highlight_green%2814%29 gallons

You can do a check!! 



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