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?
<pre>Let amount when full be F
Then we get: {{{(1/2) * F + 8 = (5/6) * F}}}
{{{F/2 + 8 = 5F/6}}}
3F + 48 = 5F -------Multiplying by LCD, 6
48 = 5F - 3F
48 = 2F
F, or amount when full = {{{highlight_green(matrix(1,4, 48/2, or, 24, gallons))}}}