Question

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Answer 1

Answer:

Total number of charms added would be 3.

Total cost of the bracelet = $ 63.

If Bella adds 3 charms to her bracelet, it will cost $ 63 at either shop.

Step-by-step explanation:

Let the number of charms added be $x$.

Total charge by Norwood Fine Jewelry for $x$ charms = $13x + 24$

Total charge by Acosta Jewelers for $x$ charms = $12x + 27$

If the charge by both the jewelers are to be same, then,

$13x+24=12x+27\\13x-12x=27-24\\x=3$

Therefore, 3 charms are added to the bracelet to make the total charge at either of the jewelry shop same.

Now, total charge at either of the jewelry shop for $x=3$ is:

Total charge = $13(3)+24=39+24=63$

If Bella adds 3 charms to her bracelet, it will cost $ 63 at either shop.