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Manuel's gas tank is

2/9

full. After he buys

12

gallons of gas, it is

2/3

full. How many gallons can Manuel's tank hold?

Verified Answer :

apologiabiology

x represents the full tank
so 2/9x+12=2/3x
solve for x
2/9x+12=2/3x
try to convert 2/3 to a commom denomenator (bottom numer )
2/3=6/9
2/9x+12=6/9x
subtract 2/9x from both sides
12=4/9x
mulitply both sides by 9 to get rid of fraciton
108=4x
divide by 4
27=x

it can hold 27 gallons

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