On an airplane that was 2/3 full, 20% of the passengers were boys, one-fourth of the passengers were women, one-eighth of the passengers were girls, and there were 51 men. How many seats are on the plane

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- Nov 6th 2008, 05:52 AMnancymcwilliamspercent
On an airplane that was 2/3 full, 20% of the passengers were boys, one-fourth of the passengers were women, one-eighth of the passengers were girls, and there were 51 men. How many seats are on the plane

- Nov 6th 2008, 06:15 AMADARSH..try this
boys have $\displaystyle \frac{1}{5} seats$

women have $\displaystyle \frac {1}{4} seats$

girls have $\displaystyle \frac{1}{8} seats$

in all the total seats occupied by them

$\displaystyle

=\frac{1}{5}+ \frac {1}{4} + \frac{1}{8}

=\frac{23}{40}

$

so fraction of seats left $\displaystyle =1-\frac{23}{40}seats$

=51(that occupied by man)

so toal seats occupied by all

$\displaystyle

=\frac{40}{17}*51

=120

$

this is two third of total available

so total seats $\displaystyle = \frac{3}{2} *120=180$-----ANSWER