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A certain hair coloring product is made by mixing 2 parts dye with 1 part peroxide cream. If a cosmetologist uses 1.2 ounces of dye on a customer, what is the total volume of the hair coloring product, in ounces?

A certain hair coloring product is made by mixing $2$ parts dye with $1$ part peroxide cream. If a cosmetologist uses $1$ . $2$ ounces of dye on a customer, what is the total volume of the hair coloring product, in ounces?

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Divide decimals by whole numbers: word problems

Full solution

Q. A certain hair coloring product is made by mixing

2

parts dye with

1

part peroxide cream. If a cosmetologist uses

1

.

2

ounces of dye on a customer, what is the total volume of the hair coloring product, in ounces?

Calculate Ratio: To find the total volume of the hair coloring product, we need to determine the amount of peroxide cream that will be mixed with the dye. The ratio given is $2$ parts dye to $1$ part peroxide cream. Since we have $1.2$ ounces of dye, we need to find out how many ounces of peroxide cream correspond to $2$ parts of dye.
Find Peroxide Cream Amount: According to the ratio, $2$ parts of dye correspond to $1$ part of peroxide cream. To find the equivalent amount of peroxide cream for $1.2$ ounces of dye, we divide the amount of dye by $2$ . $\newline$ Calculation: $1.2$ ounces of dye $/$ $2 = 0.6$ ounces of peroxide cream.
Calculate Total Volume: Now that we have the amount of peroxide cream, we can calculate the total volume of the hair coloring product by adding the volume of the dye and the volume of the peroxide cream. $\newline$ Calculation: $1.2$ ounces of dye + $0.6$ ounces of peroxide cream = $1.8$ ounces of hair coloring product.

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