Question

Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total purchase. If the shoes that Bridget purchased were all priced the same, how much did each pair of shoes cost

Answer 1

$37.

Explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5)
`\cdot` 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

`(3x + 7.5) \cdot 106\% = $126.81`

`(3x + 7.5) \cdot (106)/(100) = $126.81`

`3x + 7.5 = $126.81 \cdot \frac {50}{53}`

`3x = $119.6 - 7.5`

`3x = 112.1`

`x \approx \$37`

Hope this helped!