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?

Question

Wendy Rivers

Business

12 May, 19:48

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?

+5

Answers (1)

Know the Answer?

Chana Howell · Answer 1

They sold 40 shirts and 40 magazine subscriptions.

Explanation:

profit per shirt = $5

set up costs = $40

profit per magazine = $4

S = shirts

C = setup costs

M = magazine

5S - C = 4M

S = M so we replace

5S - 40 = 4S

5S - 4S = 40

S = 40

They sold 40 shirts and 40 magazine subscriptions.