Question

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

Answer 1

The total cost of the bracelet will be $96.

The number of charms will be 2.

Step-by-step explanation:

Given,

Cost per charm at Dayton Fine Jewelry = $17

Cost of bracelet = $62

Let,

x be the number of charms

y be the total cost

y = 17x+62   Eqn 1

Cost per charm at Cain Jewelers = $18

Cost of bracelet = $60

y = 18x+60   Eqn 2

For same cost;

Eqn 1 = Eqn 2

$17x+62=18x+60\\62-60=18x-17x\\2=x\\x=2$

Putting x=2 in Eqn 1

$y=17(2)+62\\y=34+62\\y=96$

Putting x=2 in Eqn 2

$y=18(2) +60\\y=36+60\\y=96$

The total cost of the bracelet will be $96.

The number of charms will be 2.

Keywords: equation, addition

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