Question 285539
Let {{{x}}} = the number of graduate students
given:
Number of undergrads = {{{2x}}}
{{{(1/3)*x}}} grads commute
{{{(1/4)*2x}}} undergrads commute
{{{(1/6)*x}}} drive more than 40 mi/day
{{{(1/10)*2x}}} drive more than 40 mi/day
The total number of commuters are:
{{{(1/3)*x + (1/4)*2x = (1/3)*x + (1/2)*x}}}
{{{(2/6)*x + (3/6)*x = (5/6)*x}}}
The number who drive more than 40 mi/day are:
{{{(1/6)*x + (1/10)*2x = (1/6)*x + (1/5)*x}}}
{{{(5/30)*x + (6/30)*x = (11/30)*x}}}
The fraction of commuters who drive more than 40 mi/day are:
{{{((11/30)*x) / ((5/6)*x)}}}
{{{(11/30) / (25/30)}}}
{{{11/25}}} answer
Hope I got it