Question

You buy 3 device trackers and a wireless charger. You use a coupon for15% off your total purchase. You pay a total of $45.22 after using thecoupon. The original price of the charger is $15.64. What is the originalprice of one device tracker?

Answer 1

Given:

The number of device trackers = 3.

The discount rate is 15 %.

The total amount after the discount is $ 45.22.

The original price of the charger is $ 15.64.

Required:

We need to find the original price of one device tracker.

Step-by-step explanation:

Let x be the original price of one device tracker.

The price of 3 device tracker is 3x.

The original price of 3 device trackers and the charger is 3x+15.64.

`45.22=3x+15.64-(15)/(100)(3x+15.64)`
`45.22=3x+15.64-(15)/(100)*3x-(15)/(100)*15.64`
`45.22=3x+15.64-0.45x-2.346`
`45.22=3x-0.45x+15.64-2.346`
`45.22=2.55x+13.294`

Subtract 13.294 from both sides.

`45.22-13.294=2.55x+13.294-13.294`
`31.926=2.55x`

Divide both sides by 2.55.

`(31.926)/(2.55)=(2.55x)/(2.55)`
`12.52=x`

Final answer:

The original price of one device tracker is $ 12.52.