Brandi bought a total of 6 lb of flounder and shrimp and paid $16 for the flounder and $16 for the shrimp. If the price per pound of the shrimp is twice that of the flounder, how many pounds of each did she buy?
A) 3 lb shrimp and 3 lb flounder
B) 1 lb shrimp and 5 lb flounder
C) 2 lb shrimp and 4 lb flounder
D) 4 lb shrimp and 2 lb flounder

Question

Quizplus · Accepted Answer

Let x be the number of pounds of flounder and y be the number of pounds of shrimp. We know that:
x + y = 6 (total weight purchased)
16 = 2y + x (total cost - shrimp is twice as expensive as flounder)
We can simplify the second equation by subtracting x from both sides:
16 - x = 2y
We can then substitute 6 - y for x (from the first equation) and simplify:
16 - (6 - y) = 2y
Solving for y, we get y = 2 and x = 4. Therefore, Brandi bought 4 lb of flounder and 2 lb of shrimp, which matches choice C.

Brandi Bought a Total of 6 Lb of Flounder and Shrimp