Question

On an airplane that two-thirds full, 20% of the passengers are boys, one-fourth of the passengers are women, one-eighth of the passengers are girls, and there are 68 men. How many seats are on the plane?

Answer 1

To get the number of seats we proceed as follows;
let the total number of seats be x;
the number of passengers is:
2/3x
the number of boys will be:
0.2*2/3x=2/15x
the number of women will be:
1/4*2/3x=1/6x
the number of girls will be:
1/8*2/3x=1/12x
the number of men will be given by:
2/3x-(2/15x+1/6x+1/12x)
=2/3x-23/60x
=17/60x
thus the number of sit on plane will be:
x/(17/60x)*68
=240
The number of sits are 240