A mixture consists of 40% red paint and 60% blue paint. If 5 liters of blue pain

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Question: A mixture consists of 40% red paint and 60% blue paint. If 5 liters of blue paint is added, what will be the new percentage of red paint if the total volume becomes 25 liters?

Options:

Correct Answer: 25%

Solution:

Initial red paint = 40% of 20 liters = 8 liters. New total = 25 liters. New percentage of red = (8/25) * 100 = 32%.

A mixture consists of 40% red paint and 60% blue paint. If 5 liters of blue pain

Practice Questions

A mixture consists of 40% red paint and 60% blue paint. If 5 liters of blue paint is added, what will be the new percentage of red paint if the total volume becomes 25 liters?

Questions & Step-by-Step Solutions

A mixture consists of 40% red paint and 60% blue paint. If 5 liters of blue paint is added, what will be the new percentage of red paint if the total volume becomes 25 liters?

Step 1: Understand that the mixture has 40% red paint and 60% blue paint.
Step 2: Calculate the initial total volume of the mixture before adding blue paint. Since we know the percentages, we can assume the initial total volume is 20 liters (because 40% of 20 liters is 8 liters of red paint).
Step 3: Calculate the amount of red paint in the initial mixture. 40% of 20 liters = 8 liters of red paint.
Step 4: Add 5 liters of blue paint to the initial mixture. The new total volume is 20 liters + 5 liters = 25 liters.
Step 5: The amount of red paint remains the same at 8 liters, but the total volume is now 25 liters.
Step 6: Calculate the new percentage of red paint in the mixture. Use the formula: (amount of red paint / total volume) * 100.
Step 7: Substitute the values: (8 liters / 25 liters) * 100 = 32%.
Step 8: Conclude that the new percentage of red paint is 32%.

Percentage Calculation – Understanding how to calculate percentages based on changes in total volume.
Mixture Problems – Analyzing the composition of mixtures and how adding components affects overall percentages.

A mixture consists of 40% red paint and 60% blue paint. If 5 liters of blue pain

What’s inside this PDF?

A mixture consists of 40% red paint and 60% blue paint. If 5 liters of blue pain

Practice Questions

Questions & Step-by-Step Solutions

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