Question 9 (1 point)
The All About Accessories store at the mall is having a special sale on jewelry and hair accessories. You can buy either 5 pieces a
jewelry and 8 hair accessories for $34.50 or 2 pieces of jewelry and 16 hair accessories for $33.00. A piece of jewelry cost $
and a hair accessory cost $
Blank 1:
Blank 2:

A piece of Jewelry costs $4.5 and a hair accessory costs $1.5.

Step-by-step explanation:

Let the price of a piece of jewelry is $x and that of a piece of hair accessories is $y.

So, from the given conditions we can write two different equations as

5x + 8y = 34.5 (1) and

2x + 16y = 33 (2)

Now, solving the equations (1) and (2) we get

2x + 2(34.5 - 5x) = 33

⇒ 8x = 36

⇒ x = $4.5

Again, from the equation (2) we can write

2(4.5) + 16y = 33

⇒ 16y = 24

⇒ y = $1.5

Therefore, a piece of Jewelry costs $4.5 and a hair accessory costs $1.5. (Answer)

2

step-by-step explanation: