Question

Adam wants to buy a new pair of dress shoes to wear to a school dance. He searches for shoes on the Internet and finds five pairs that he likes. Shipping will be free on each pair of shoes that he found. Adam has $70 to spend on the shoes, and must pay 6% sales tax on any pair of shoes that he buys. The table shows the five pairs with their prices before sales tax. Select whether Adam can or cannot buy each pair of shoes.

Answer 1

Answers:

Adam cannot buy Pair A

Adam cannot buy Pair B

Adam can buy Pair C

Adam can buy Pair D

Adam cannot buy Pair E

Step-by-step explanation:

To know if Adam can buy a pair of shoes, we need to calculate the cost of each pair after the sales tax. If the cost exceeds $70, then Adam cannot buy them.

So, to calculate the cost after the sales tax, we need to calculate 6% of the initial cost. Then, for pair A, we get:

`\text{ \$68.95}*6\text{ \% = \$68.95}*(6)/(100)=\text{ \$4.137}`

Therefore, the cost after the sales tax is:

`\text{ \$68.95 + \$4.137 = \$73.087}`

Since 73.087 is greater than 70, Adam cannot buy pair A.

In the same way, we can calculate the cost after sales taxes for pair B as:

`\begin{gathered} \text{ \$67.50}*6\text{ \% = \$67.50}*(6)/(100)=\text{ \$4.05} \\ \text{ \$67.50 + \$4.05 = \$71.55} \end{gathered}`

Therefore, Adam cannot buy pair B.

The cost after sales taxes for pair C is:

`\begin{gathered} \text{ \$}62.50*6\text{ \% = \$62.50}*(6)/(100)=\text{ \$3.75} \\ \text{ \$62.50 + \$3.75 = \$66.25} \end{gathered}`

Therefore, Adam can buy pair C.

The cost after sales taxes for pair D is:

`\begin{gathered} \text{ \$59.}88\text{ }*6\text{ \% = \$59.88}*(6)/(100)=\text{ \$3.5928} \\ \text{\$59.}88\text{ + \$3.5928 = \$63.4728} \end{gathered}`

Therefore, Adam can buy pair D.

The cost after sales taxes for pair E is:

`\begin{gathered} \text{ \$}69.95*(6)/(100)=\text{ \$4.197} \\ \text{\$}69.95\text{ + \$4.197 = \$74.147} \end{gathered}`

Therefore, Adam can buy pair E.