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.

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-\frac{15}{100}(3x+15.64)$$45.22=3x+15.64-\frac{15}{100}\times3x-\frac{15}{100}\times15.64$$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.

$\frac{31.926}{2.55}=\frac{2.55x}{2.55}$$12.52=x$

Final answer:

The original price of one device tracker is $ 12.52.