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

Answer:

90 pairs

Step-by-step 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.

$8.5p\geq 765\\\\p\geq \frac{765}{8.5}\\\\p\geq 90$

Stephanie needs to sell at least 90 pairs of earrings.

Hope this helps!