Gasoline tank 2

A gasoline tank is 1/6 full. When the family added 25 liters of gasoline, it became 3/4 full. How many more liters are needed to fill them? Show your solution.

Correct answer:

x =  10.7143 l

Step-by-step explanation:


V/6 + 25 = 3/4·V
x = V - 3/4·V

7V = 300
V-4x = 0

Row 2 - 1/7 · Row 1 → Row 2
7V = 300
-4x = -42.86


x = -42.85714286/-4 = 10.71428571
V = 300/7 = 42.85714286

V = 300/7 ≈ 42.857143
x = 75/7 ≈ 10.714286

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