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Amit drives a pickup truck. On monday, his gas tank was 1/2 full, and he filled it up. On Thursday his gas tank was 3/4 full, and he again filled it up. Amit put a total of 19 1/2 gallons of gas into his truck. What is the capacity of the trucks fuel tank?

Respuesta :

ChemBen

If x marks the full gas tank,

[tex] \frac{1}{2} x + \frac{1}{4} x = 19.5 \: gallons[/tex]

Then, we just solve the equation:

[tex] \frac{2}{4} x + \frac{1}{4} x = 19.5 \\ \frac{3}{4} x = 19.5 \\ x = 19.5 \div 0.75 = 26 \: gallons[/tex]

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