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A hair stylist is creating a price list for his services. As he prices services for hair coloring, he must take into account the cost of the products that he uses for the process along with the time he spends applying the product. He charges $25 per hour for his time and the process takes an hour and 15 minutes. The products he uses cost him $32. He also wants to add 20% to the total amount for profit. What is the total he should charge for the coloring service? Show your work and/of explain your answer.

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To find the total amount he should charge for the coloring service, we need to add up the cost of the products, the cost of his time, and the profit he wants to make.

First, we need to convert the time he spends applying the product to hours. 15 minutes is a quarter of an hour, so the total time is 1.25 hours.

The cost of his time is $25 per hour, so the cost of his time for the coloring service is:

$25/hour * 1.25 hours = $31.25

The cost of the products is $32.

Adding the cost of his time and the cost of the products, we get:

$31.25 + $32 = $63.25

To add 20% to the total amount for profit, we need to multiply $63.25 by 1.2:

$63.25 * 1.2 = $75.90

Therefore, the hair stylist should charge $75.90 for the coloring service.
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