Question

A fisher caught a large boat load of salmon. She decided to donate some of his fish to the local community, 1,672 people in all. To each person over the age of 50 she gave 16 fish and to each person under 50 she gave 96 fish. Only 3/4 of the over 50s collected their salmon and only 1/8 of the under 50s collected their fish. How many fish did the fisher distribute it total

Answer 1

74 fishes

Explanation:

Total number of people = 1672

Let us represent:

Number of people over the age of 50 = a

Number of people below the age of 50 = b

People over the age of 50 she gave = 16 fish

People below 50 she gave = 96 fish. Only 3/4 of the over 50s collected their salmon

= 3/4a collected fish = 0.75a

If a should collect = 96 fishes

0.75a =

Cross Multiply

=0.75a × 96 fishes/ a

= 72 fishes

Therefore, 3/4 of the over 50s collected 72 fishes.

1/8 of the under 50s collected their fish.

= 1/8b collected fish = 0.125b

If b people should collect = 16 fishes

0.125b people =

Cross Multiply

0.125b × 16 fishes/b

= 2 fishes.

Therefore, the total number of fishes shared

= 72 fishes + 2 fishes

= 74 fishes