Vivian wants to buy a charm bracelet. Oxford Fine Jewelry charges $7 per charm, plus $51 for the bracelet. Sullivan Jewelers, in contrast, charges $5 per charm and $53 for the bracelet. If Vivian wants to add a certain number of charms to her bracelet, the cost will be the same at either jewelry shop. What would the total cost of the bracelet be? How many charms would that be?The cost of the bracelet will be $ ____ if Vivian adds ____ charms to it.

Create two equations:Oxford: 51 + 7cSullivan: 53 + 5cC is the number of charms.Now set the two equations equal to each other and solve for c:51 + 7c = 53 + 5cSubtract 5c from each side:51 + 2c = 53Subtract 51 from each side:2c = 2Divide both sides by 2:C = 2/2C = 1When she buys 1 charm the price will be the same. Theprice would be 51 + 7 = $58, or 53 + 5 = $58The cost of the bracelet will be $ 58 if Vivian adds 1 charms to it.