Angel wants to buy a charm bracelet. Jewelry store A charges $5 per charm, plus $50 for the bracelet. Jewelry store B charges $9 per charm and $10 for the bracelet. How many charms would Angel need to order for the cost to be the same at both jewelry stores?

Question

Define the variables:
Jewelry A equation:
Jewelry B equation:

Answer 1

Let x represent the number of charms Angel wants to buy.

Jewelry A equation: 5x + 50 = total cost
Jewelry B equation: 9x + 10 = total cost

To find out when the cost is the same at both stores, we set the two equations equal to each other:
5x + 50 = 9x + 10

Now we solve for x:
50 - 10 = 9x - 5x
40 = 4x
x = 10

Angel would need to order 10 charms for the cost to be the same at both jewelry stores.