SOLUTION: Carlos's gas tank is 1/2 full. After he buys 8 gallons of gas, it is 5/6 full. How many gallons can Carlos's tank hold?

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Question 1057364: Carlos's gas tank is 1/2 full. After he buys 8 gallons of gas, it is 5/6 full. How many gallons can Carlos's tank hold?
Found 3 solutions by Cromlix, ankor@dixie-net.com, MathTherapy:
Answer by Cromlix(4381)   (Show Source):
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Hi there,
Carlos's gas tank is 1/2 full.
After he buys 8 gallons of gas, it is 5/6 full.
5/6 - 1/2 = 1/3
1/3 of a tank = 8 gallons
So, full tank = 8 x 3 = 24 gallons
Proof:
1/2 tank = 12 gallons
Add 8 gallons of gas
= 20 gallons
20/24 = 5/6
Hope this helps :-)

Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website!
Carlos's gas tank is 1/2 full. After he buys 8 gallons of gas, it is 5/6 full.
How many gallons can Carlos's tank hold?
:
Let x = amt of gallons the tank can hold
:
x = 8
multiply both sides by 6, gets rid of the denominator
5x = 6(8)
5x = 48
x = 48/5
x = 9.6 gallons
:
:
Check on a calc
*9.6 = 8

Answer by MathTherapy(10551)   (Show Source):
You can put this solution on YOUR website!

Carlos's gas tank is 1/2 full. After he buys 8 gallons of gas, it is 5/6 full. How many gallons can Carlos's tank hold?

Let amount when full be F
Then we get:

3F + 48 = 5F -------Multiplying by LCD, 6
48 = 5F - 3F
48 = 2F
F, or amount when full =