SOLUTION: On an airplane that was two-thirds full, 20% of the passengers were boys, one-fourth of the passengers were women, one-eighth of the passengers were girls, and there were 68 men.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: On an airplane that was two-thirds full, 20% of the passengers were boys, one-fourth of the passengers were women, one-eighth of the passengers were girls, and there were 68 men.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 356169: On an airplane that was two-thirds full, 20% of the passengers were boys, one-fourth of the passengers were women, one-eighth of the passengers were girls, and there were 68 men. How many seats are on the plane?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = #number of seats in the airplane. Only 2x%2F3 seats are occupied.
Of these, %281%2F5%29%2A%282x%2F3%29=2x%2F15 are boys, %281%2F4%29%2A%282x%2F3%29=x%2F6are women, %281%2F8%29%2A%282x%2F3%29=+x%2F12are girls, and 68 are men. Hence,
2x%2F15%2Bx%2F6%2Bx%2F12%2B68+=+2x%2F3, or
68+=+2x%2F3-2x%2F15-x%2F6-x%2F12, or
68+=+17x%2F60,
x+=+4080%2F17+=+240.
Therefore there are 240 seats in the airplane all-in-all.