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 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 determine on what fraction of the packages the company lost money, we need to calculate the total number of packages returned with more than 1/2 of the pictures.

Total number of packages returned with more than 1/2 of the pictures = 5/8 + 3/4 + 7/8 = 4 + 4 + 2 = 10

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

Fraction of packages the company lost money on = Total number of packages returned with more than 1/2 of the pictures / Total number of packages returned
= 10/20
= 1/2

Therefore, the company lost money on 1/2 of the packages.