A bag contains red and blue balls in the ratio of 5:3. If there are 40 red balls

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Question: A bag contains red and blue balls in the ratio of 5:3. If there are 40 red balls, how many blue balls are there?

Options:

Correct Answer: 24

Solution:

The ratio of red to blue balls is 5:3. If there are 40 red balls, the number of blue balls can be calculated as (3/5) * 40 = 24 blue balls.

A bag contains red and blue balls in the ratio of 5:3. If there are 40 red balls, how many blue balls are there?

A bag contains red and blue balls in the ratio of 5:3. If there are 40 red balls, how many blue balls are there?

Step 1: Understand the ratio of red to blue balls, which is 5:3.
Step 2: Identify how many parts the ratio has in total. Add the parts of red and blue: 5 + 3 = 8 parts.
Step 3: Determine how many red balls correspond to one part. Since there are 40 red balls, divide 40 by the number of red parts: 40 / 5 = 8 balls per part.
Step 4: Calculate the number of blue balls. Since blue balls are 3 parts, multiply the number of balls per part by 3: 8 * 3 = 24 blue balls.

Ratios – Understanding and applying the concept of ratios to find the quantity of one item based on the quantity of another.
Proportions – Using proportions to relate the quantities of red and blue balls based on their given ratio.