A bag contains red and blue balls in the ratio of 4:5. If there are 36 red balls

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Question: A bag contains red and blue balls in the ratio of 4:5. If there are 36 red balls, how many blue balls are there?

Options:

Correct Answer: 45

Solution:

Let red = 4x and blue = 5x. Given 4x = 36, x = 9. Therefore, blue = 5x = 5*9 = 45.

A bag contains red and blue balls in the ratio of 4:5. If there are 36 red balls, how many blue balls are there?

A bag contains red and blue balls in the ratio of 4:5. If there are 36 red balls, how many blue balls are there?

Step 1: Understand the ratio of red to blue balls, which is 4:5.
Step 2: Let the number of red balls be represented as 4x and the number of blue balls as 5x.
Step 3: We know there are 36 red balls, so we can set up the equation: 4x = 36.
Step 4: Solve for x by dividing both sides of the equation by 4: x = 36 / 4.
Step 5: Calculate x, which gives us x = 9.
Step 6: Now, find the number of blue balls by substituting x into the blue ball equation: blue = 5x.
Step 7: Calculate the number of blue balls: blue = 5 * 9.
Step 8: Therefore, the number of blue balls is 45.

Ratios – Understanding and applying the concept of ratios to solve problems involving proportional relationships.
Algebraic Representation – Using variables to represent quantities and setting up equations based on given information.