# percent

• Nov 6th 2008, 05:52 AM
nancymcwilliams
percent
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 AM
..try this
Quote:

Originally Posted by nancymcwilliams
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

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