Rachel decided to have bouncy balls as a party favor. She determines that her ratio of bouncy balls to guests is 9:3. Explain how to find the number of balls needed for 30 guests.

Answer 1

To find the number of bouncy balls needed for 30 guests, you can set up a proportion using the given ratio of 9:3.

Since the ratio is 9:3, for every 9 bouncy balls, there are 3 guests.

To set up the proportion, let x represent the total number of bouncy balls needed for 30 guests.
So, we have:
9 bouncy balls / 3 guests = x bouncy balls / 30 guests

Cross-multiplying, we have:
9 * 30 guests = 3 * x bouncy balls
270 guests = 3x bouncy balls

Finally, divide both sides by 3 to solve for x:
270 guests / 3 = x bouncy balls
90 = x bouncy balls

Therefore, Rachel would need 90 bouncy balls for 30 guests.