Pat bought some fish for $5.00 each. Three fish died. He sold the rest for $6.00 each, and lost 10.00 in the transaction. How many fish did he sell?

Answer 1

Let f = the number of fish sold. That means he bought f + 3 fish, right? The amount he paid is $10 more than what he made.

6f + 10 = 5(f+ 3)

6f + 10 = 5f + 15

f = 5 fish

Let's check.

5($6) = $30 made

8($5) = $40 spent

Check!

Answer 2

We need to use the idea of Loss = Cost - Revenue. We know the loss is $10. The cost to Pat is 5x, where $5 is the cost of each fish, and x is the number of fish. The revenue is 6x, where $6 is the cost of each fish, and x is the number of fish.

So the equation now becomes -10 = 5x - 6x. That brings us to -10 = -x. Dividing both sides by -1, we get x = 10. So 10 is the number of fish that Pat sold.

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