Question

6.) Kelly is buying a fitness tracker that costs $45.95. She has acoupon for 15%. After the coupon is used, 6.5% tax will becharged. What is the final cost of the fitness tracker?*о$24.45$37.45O $41.60O $42.08

Answer 1

Kelly bought a fitness tracker, the original value is $45.95, this is 100% of the value of the tracker. She got a discount from a coupon of 15%, this means that she'll pay 15% less for the tracker, which means:

`100-15=85`

That she'll pay 85% of the marked price for the tracker. To find this value we need to multiply the total price of the item by the percentage as shown below:

`\begin{gathered} \text{price}=85\text{ \%}\cdot45.95 \\ price=(85)/(100)\cdot45.95 \\ \text{price}=(3905.75)/(100)=39.0575 \end{gathered}`

Over the price that was charged ther is a tax of 6.5%, this means that she has to pay 6.5% more than what she'd pay after the discount without taxes, which means:

`100+6.5=106.5`

We can find this value by multiplying the percentage 106.5% by the price. We have:

`\begin{gathered} \text{final price}=106.5\text{ \%}\cdot39.0575 \\ \text{final price}=(106.5)/(100)\cdot39.0575 \\ \text{final price}=1.065\cdot39.0575 \\ \text{final price}=41.5962 \end{gathered}`

The final price after taxes is approximately $41.6