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
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:
[tex]\text{ \$68.95}\times6\text{ \% = \$68.95}\times\frac{6}{100}=\text{ \$4.137}[/tex]Therefore, the cost after the sales tax is:
[tex]\text{ \$68.95 + \$4.137 = \$73.087}[/tex]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:
[tex]\begin{gathered} \text{ \$67.50}\times6\text{ \% = \$67.50}\times\frac{6}{100}=\text{ \$4.05} \\ \text{ \$67.50 + \$4.05 = \$71.55} \end{gathered}[/tex]Therefore, Adam cannot buy pair B.
The cost after sales taxes for pair C is:
[tex]\begin{gathered} \text{ \$}62.50\times6\text{ \% = \$62.50}\times\frac{6}{100}=\text{ \$3.75} \\ \text{ \$62.50 + \$3.75 = \$66.25} \end{gathered}[/tex]Therefore, Adam can buy pair C.
The cost after sales taxes for pair D is:
[tex]\begin{gathered} \text{ \$59.}88\text{ }\times6\text{ \% = \$59.88}\times\frac{6}{100}=\text{ \$3.5928} \\ \text{\$59.}88\text{ + \$3.5928 = \$63.4728} \end{gathered}[/tex]Therefore, Adam can buy pair D.
The cost after sales taxes for pair E is:
[tex]\begin{gathered} \text{ \$}69.95\times\frac{6}{100}=\text{ \$4.197} \\ \text{\$}69.95\text{ + \$4.197 = \$74.147} \end{gathered}[/tex]Therefore, Adam can buy pair E.