Question 180048
Let {{{x}}}= amount Anthony, Bill, and Chris start with
Anthony spends two-thirds of his money, so he has
{{{x/3}}} left
Bill spends three-quarters of his, so he has
{{{x/4}}} left
Chris spends four more dollars than Bill. so Chris spends
{{{(3/4)*x + 4}}}, and since he started with {{{x}}}, he has
{{{x - ((3/4)*x + 4)}}}
{{{x/4 - 4}}}
They have a total of {{{22}}} dollars left
{{{x/3 + x/4 + x/4 - 4 = 22}}}
{{{(10/12)*x = 26}}}
{{{(5/6)*x = 26}}}
{{{5x = 156}}}
{{{x = 31.2}}}
Chris has
{{{x/4 - 4 = 31.2/4 - 4}}}
{{{31.2/4 - 4 = 7.8 - 4}}}
{{{7.8 - 4 = 3.8}}}
Chris has $3.80 left
check:
{{{3x = 3*31.2}}}
{{{3x = 93.6}}}
Anthony spends two-thirds of his money, or
{{{(2/3)*x = (2/3)*31.2}}}
{{{(2/3)*x = 20.8}}}
Bill spends three-quarters of his, or
{{{(3/4)*x = 23.4}}}
Chris spends four more dollars than Bill.
{{{23.4 + 4 = 27.4}}}
{{{20.8 + 23.4 + 27.4 = 71.6}}}
{{{93.6 - 71.6 = 22}}}
They have a combined total of 22 dollars left.
OK