I don't know how I'm screwing this problem up, but I keep getting 20 shirts which is wrong. Can someone take a look at it?

A school's band members raised money by selling magazine subscriptions and shirts. Their profit from selling shirts was $5 per shirt minus a one-time $40 set-up fee. Their profit from selling magazine subscriptions was $4 per subscription. They made exactly the same profit from shirts as they did from magazines. They also sold the same number of shirts as magazine subscriptions. How many shirts did they sell?

mathleteig Jan 11, 2020

#1**+1 **

Let the number of shirts sold =S

Let the number of subscriptions sold =N

N = S..............................(1)

5S - 40 =4N...................(2) Sub (1) into (2)

N = 40 subscriptions sold

S = 40 shirts sold.

Check:

5 * 40 - 40 =$160 profit on selling 40 shirts

4 * 40 =$160 profit ftom selling subscriptions.

Guest Jan 11, 2020