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Question

A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of red and blue coloring will the factory need in the 50-gallon batch of purple paint? Show your work. A factory adds three red drops and two blue drops of coloring to white paint to make each pint of purple paint. The factory will make 50 gallons of this purple paint. How many drops of red and blue coloring will the factory need in the 50-gallon batch of purple paint? Show your work.

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Brent

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Solution By Steps

Step 1: Drops per Pint

In each pint of purple paint, there are 3 red drops and 2 blue drops added.

Step 2: Drops per Gallon

Since there are 8 pints in a gallon, multiply the drops per pint by 8 to find the drops per gallon.

Step 3: Total Drops for 50 Gallons

Multiply the drops per gallon by the number of gallons (50) to find the total drops needed for the 50-gallon batch.

Final Answer

In the 50-gallon batch of purple paint, the factory will need 600 red drops and 400 blue drops.

Key Concept

Coloring Drops Calculation

Key Concept Explanation

To determine the total drops of red and blue coloring needed for a certain volume of paint, calculate the drops per unit (pint, gallon, etc.) and then scale up to the total volume required.

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