Question

"Kevin purchased fish at a grocery store at $5 per pound for salmon and $3 per pound for catfish. He spent a total of $36.60 on the salmon and catfish. Kevin purchased a total of 10 pounds of salmon and catfish at the grocery store. How many pounds of each type of fish did Kevin purchase?"

Answer 1

Kevin purchased 3.30 pounds of salmon and 6.70 pounds of catfish.

Step-by-step explanation:

To solve this problem, we can set up a system of equations.

Let x be the number of pounds of salmon Kevin purchased, and let y be the number of pounds of catfish he purchased.

From the problem, we know that the total cost of the salmon is $5 per pound and the total cost of the catfish is $3 per pound. We also know that Kevin spent a total of $36.60.

We can set up the following equations:

x + y = 10 (since Kevin purchased a total of 10 pounds)

5x + 3y = 36.60 (since Kevin spent a total of $36.60)

We can solve this system of equations using substitution or elimination. Let's use elimination:

Multiply the first equation by 3: 3x + 3y = 30

Subtract the second equation from the first: (3x + 3y) - (5x + 3y) = 30 - 36.60

-2x = -6.60

Divide both sides by -2: x = 3.30

Substitute x = 3.30 into the first equation to find y: 3.30 + y = 10

y = 6.70

Therefore, Kevin purchased 3.30 pounds of salmon and 6.70 pounds of catfish.