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.
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.
To find the number of bouncy balls needed for 30 guests, follow these steps:
1. Determine the ratio of bouncy balls to guests, which is 9:3.
2. To make the ratio equal to 30 guests, we can set up a proportion. Set the ratio of bouncy balls to guests equal to the ratio of the number of bouncy balls needed to the number of guests, as follows:
9/3 = x/30
In this equation, x represents the number of bouncy balls needed for 30 guests.
3. Cross-multiply and solve the equation. Multiply 9 by 30 and divide the result by 3:
(9 * 30) / 3 = x
270 / 3 = x
x = 90
Therefore, the number of bouncy balls needed for 30 guests is 90.