Problema Solution

The gasoline gauge on a van initially read one third

full. When 10 gallons were added to the​ tank, the gauge read three fourths

full. How many more gallons are needed to fill the​ tank?

Answer provided by our tutors

Let T = the tank capacity.

10 gallons is the difference between (3/4) full and (1/3) full or:

(3/4-1/3)T=10

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click here to see the equation solved for T

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T = 24 gal

Since 3/4 of the tank is full we need to add 1 - 3/4 = 1/4 of the tank or:

(1/4)*24 = 6 gal

6 more gallons are needed to fill the tank.