Juan’s has tank is 1/5 full. After he buys 9 gallons of gas, it is 7/10 full. How many gallons can Juan’s tank hold?

Respuesta :

Answer:

18 gallons

Step-by-step explanation:

Let x represent a full tank, then

[tex]\frac{1}{5}[/tex] x + 9 = [tex]\frac{7}{10}[/tex] x

Multiply through by 10 to clear the fractions

2x + 90 = 7x ( subtract 2x from both sides )

90 = 5x ( divide both sides by 5 )

18 = x

The tank holds 18 gallons