Question

Stephanie started selling earrings online at a handmade shop. She makes a profit of $8.50 on each pair of earrings. If she wants to make a profit of no less than $765 this month, how many pairs of earrings does she need to sell? Write and solve an inequality to model this solution.

Answer 1

90 pairs

Explanation:

We can use clues from the problem in order to set up our inequality.

First, we know that a pair of earrings,
`p`, costs $8.50. So, we can say that
`8.5p=` total profit.

That's a function we could use, but we need an inequality. Well, it says that Stephanie wants to make no less, or at least $765. This indicates that we need the 'greater than or equal to' symbol. Just replace the equal sign:

`8.5p\geq 765`

Now we can isolate
`p` to find how many earrings she needs to sell to make a profit of at least $765.

`8.5p\geq 765\\\\p\geq (765)/(8.5)\\\\p\geq 90`

Stephanie needs to sell at least 90 pairs of earrings.

Hope this helps!