On an airplane that is two-thirds full, 20% of the passengers are boys, one-fourth of the passengers are women, one-eighth of the passengers are girls

FobelloE

FobelloE

Answered question

2021-05-19

On an airplane that is 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 & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-05-21Added 169 answers

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Ian Adams

Ian Adams

Skilled2021-08-04Added 163 answers

Let x be the number of seats on the plane. The number of people in the plane is (23)x since it is two-thirds full.
boys+girls+women+men=(23)x

(0.2(23)x)+(14)(23)x+(1823)x+68=(23)x

(15)(23)x+(14)(23)x+(18)(23)x+68=(23)x

(215)x+(16)x+(112)x+68=(23)x
Multiply both sides by the LCD which is 60:
8x+10x+5x+4080=40x
23x+4080=40x
4080=17x
x=408017
x=240
So, there are 240 seats on the plane.

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