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

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

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

Step 1: Understand the ratio of red to blue balls, which is 3:5.
Step 2: Identify that the number of blue balls is 40.
Step 3: Set up a proportion using the ratio: 3/5 = x/40, where x is the number of red balls.
Step 4: Cross-multiply to solve for x: 3 * 40 = 5 * x.
Step 5: Calculate 3 * 40, which equals 120.
Step 6: Now you have the equation: 120 = 5 * x.
Step 7: Divide both sides by 5 to find x: x = 120 / 5.
Step 8: Calculate 120 / 5, which equals 24.
Step 9: Conclude that there are 24 red balls.

Ratios and Proportions – Understanding how to set up and solve ratios to find unknown quantities.