SOLUTION: Please explain & show work. On an airplane that is 2/3 full, 20% of the passangers are boys, 1/4 of the passengers are women, 1/8th of the passengers are girls, & there are 68 men

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Please explain & show work. On an airplane that is 2/3 full, 20% of the passangers are boys, 1/4 of the passengers are women, 1/8th of the passengers are girls, & there are 68 men      Log On


   



Question 457331: Please explain & show work.
On an airplane that is 2/3 full, 20% of the passangers are boys, 1/4 of the passengers are women, 1/8th of the passengers are girls, & there are 68 men. How many seats are on the plane? (girls are not counted as women, boys are not counted as men)

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = number of seats on the plane
given:
+%282%2F3%29%2As+ = seats occupied
+68+ = number who are men
+%28%282%2F3%29%2As+%29%2A%28+.2+%2B+.25+%2B+.125%29+ = passengers who are not men
+%28%282%2F3%29%2As%29%2A.575+%2B+68+=+%282%2F3%29%2As+ (men + others fill 2/3 of plane)
+1.15s+%2B+204+=+2s+
+.85s+=+204+%7D%7D%0D%0A%7B%7B%7B+s+=+240+
There are 240 seats on the plane
check answer:
+%282%2F3%29%2A240+=+160+
+160+-+68+=+92+ (92 of the (2/3)*s are not men)
+%28%282%2F3%29%2As+%29%2A%28+.2+%2B+.25+%2B+.125%29+=+92+
+160%2A%28+.2+%2B+.25+%2B+.125%29+=+92+
+.575%2A160+=+92+
+92+=+92+
OK