Question

Paxton paid $8.35 per pound for fish at one market. Then he found another market that charges a member's fee of $36.90 a year plus $4.25 per pound for fish. How many pounds of fish would Mark need to buy for the total cost to be same?

Answer 1

To find the number of pounds of fish that Paxton needs to buy for the total cost to be the same at both markets, set up an equation and solve for x. Paxton would need to buy 9 pounds of fish.

Step-by-step explanation:

To find the number of pounds of fish that Paxton needs to buy for the total cost to be the same at both markets, we can set up an equation.

For the first market, Paxton paid $8.35 per pound for fish.

For the second market, there is a membership fee of $36.90 a year plus $4.25 per pound for fish.

Let's say Paxton wants to buy x pounds of fish.

At the first market, the cost would be 8.35x.

At the second market, the cost would be 36.90 + 4.25x.

We can set up the equation: 8.35x = 36.90 + 4.25x.

Simplifying the equation, we get 4.1x = 36.90.

Dividing both sides by 4.1, we get x = 9.

Therefore, Paxton would need to buy 9 pounds of fish for the total cost to be the same at both markets.