Question 186922
Let the total distance = {{{d}}}
given:
{{{(2/3)*d + (1/4)*d + 10 = d}}}
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Multiply both sides by {{{12}}}
{{{2*4*d + 3d + 120 = 12d}}}
{{{11d + 120 = 12d}}}
{{{d = 120}}}
The total distance is 120 miles
check answer:
{{{(2/3)*d + (1/4)*d + 10 = d}}}
{{{(2/3)*120 + (1/4)*120 + 10 = 120}}}
{{{80 + 30 + 10 = 120}}}
{{{120 = 120}}}
OK