Question 271729
When 6 gallons of gasoline are put in your car’s tank, the indicator goes from ¼ of a tank to 5/8 of a tank. Find the total capacity of the gasoline tank.
:
Let x = tank capacity
{{{5/8}}}x - {{{1/4}}}x = 6
:
{{{5/8}}}x - {{{2/8}}}x = 6
:
{{{3/8}}}x  = 6
:
Multiply both sides by 8
3x = 8(6)
3x = 48
x = {{{48/3}}}
x = 16 gal tank
:
:
Check solution in original equaltion
{{{5/8}}}(16) - {{{1/4}}}(16) =
10 - 4 = 6