Thanh purchased crawfish and shrimp at a local seafood market to use at her restaurant. At the market, crawfish cost $3 per pound and shrimp cost $5 per pound. Thanh spent $200 total on 52 pounds of seafood. The system of linear equations shown can be used to represent this situation. In the system of linear equations, c represents the pounds of crawfish purchased and s represents the pounds of shrimp purchased.

{c+s=523c+5s=200

How many total pounds of shrimp did Thanh purchase?

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Answer:

22 pounds

Step-by-step explanation:

c+s=52, c = 52-s

3c+5s=200

3(52-s) +5s = 200

156 - 3s +5s = 200

5s-3s = 200-156

2s = 44

Shrimp = 44/2 = 22 pounds