Question

A local fish market is selling fish and lobsters by the pound. The fish, f, costs $5.00 a pound, while the lobster, l, costs $8.00 a pound. The fish market sells 20.5 pounds and makes $131.00. How many pounds of fish and pounds of lobster did the market sell?

Answer 1

Given :

A local fish market is selling fish and lobsters by the pound. The fish, f, costs $5.00 a pound, while the lobster, l, costs $8.00 a pound. The fish market sells 20.5 pounds and makes $131.00.

To Find :

How many pounds of fish and pounds of lobster did the market sell.

Solution :

Let, pounds of fish sells are x.

So, pounds of lobsters sells are (20.5 - x) .

Total amount of spend = 5x + 8( 20.5 - x)

5x + 8( 20.5 - x) = 131

5x - 8x + 164 = 131

3x = 33

x = 11

Therefore, number of pounds of fish and lobsters are 11 and 9.5 pounds respectively.

Hence, this is the required solution.