In a seafood stew, Erin wants to use lobster, crab, and shrimp. She wants one part lobster, two parts crab, and three parts shrimp. lobster cost $20 per pound, crab cost $15 per pound, and shrimp cost $10 per pound. Erin has $40 to spend on the seafood mix. The equation 20x + 15 (2x) + 10 (3x) = 40 models the pounds, x. How many pounds of the seafood mix can Erin buy?

Question

Mathematics

Alayna Roman

7 September, 03:57

In a seafood stew, Erin wants to use lobster, crab, and shrimp. She wants one part lobster, two parts crab, and three parts shrimp. lobster cost $20 per pound, crab cost $15 per pound, and shrimp cost $10 per pound. Erin has $40 to spend on the seafood mix. The equation 20x + 15 (2x) + 10 (3x) = 40 models the pounds, x. How many pounds of the seafood mix can Erin buy?

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Answers (1)

Know the Answer?

Kiersten Winters · Answer 1

Answer: (B) 3

Step-by-step explanation:

20x + 15 (2x) + 10 (3x) = 40

20x + 30x + 30x = 40

80x = 40

x = 40/80

x = 1/2

Find the amount of lobster

Lobster = x = 1/2 pound

Find the amount of crab:

Crab = 2x = 2 (1/2) = 1 pound

Find the amount of Shrimp:

Shrimp = 3x = 3 (1/2) = 3/2 pounds

Find the total pounds of seafood:

Total = 1/2 + 1 + 3/2 = 3 pounds

Answer: (B) 3