Question

Nicole wants to buy a charm bracelet. Summerfield Fine Jewelry charges $26 per charm, plus $19 for the bracelet. Flynn Jewelers, in contrast, charges $27 per charm and $11 for the bracelet. If Nicole wants to add a certain number of charms to her bracelet, the cost will be the same at either jewelry shop. How many charms would that be? What would the total cost of the bracelet be?

Answer 1

There are 8 number of charms

Total cost = $227

Explanation:

Let

Number of charms = c

Summerfield Fine Jewelry charges $26 per charm, plus $19 for the bracelet.

26c + 19

Flynn Jewelers charges $27 per charm and $11 for the bracelet

27c + 11

How many charms would that be ?

Equate the cost at both jewelry shop

26c + 19 = 27c + 11

Collect like terms

26c - 27c = 11 - 19

-c = - 8

c = 8

There are 8 number of charms

What would the total cost of the bracelet be?

Using any of the jewelry shop cost

Flynn Jewelers cost

= 27c + 11

= 27(8) + 11

= 216 + 11

= 227

Total cost = $227