A school photography company allows parents to purchase fractions of portrait packages. Parents can select only the pictures they want, and return a fraction of package. The company tracks the fraction of each returned package. The company loses money on any package returned with more than 3/4 of the pictures. On what fraction of the packages did the company lose money?

Portrait Packages Returned
1/8 - 3
1/4 - 3
3/8 -2
1/2 - 2
5/8 - 4
3/4 - 4
7/8 - 2

1 answer

To find out the fraction of packages on which the company lost money, we need to calculate the total number of packages returned with more than 3/4 of the pictures.

Total packages returned with more than 3/4 of the pictures = 7/8 + 7/8 + 5/8 + 5/8 + 3/4 + 3/4 = 6

Total number of packages returned = 3 + 3 + 2 + 2 + 4 + 4 + 2 = 20

Fraction of packages on which the company lost money = 6/20 = 3/10

Therefore, the company lost money on 3/10 or 30% of the packages returned.