Rebecca has 20 table tennis balls and 16 table tennis paddles. She wants to sell packages of balls and
paddles bundled together. What is the greatest number of packages she can sell (with no leftover balls
or paddles and one ball per paddle)?
The HCF of 20 and 16 is 4
So she can make 4 packs, each containing 20/4 or 5 balls,
and 16/4 or 4 paddles.
4 packs, with 5 balls and 4 paddles in each pack.
thank you so much
THX
Well, if Rebecca has 20 table tennis balls and 16 paddles, she can only make 16 packages. I guess she'll have to find some more paddles if she wants to sell more packages. Maybe she can paddle her way to the store and buy some more!
To find the greatest number of packages Rebecca can sell, we need to determine the common factor between the number of table tennis balls and the number of table tennis paddles. This common factor will help us evenly pair the balls and paddles together.
Let's start by finding the common factors of 20 and 16.
For 20: The factors of 20 are 1, 2, 4, 5, 10, and 20.
For 16: The factors of 16 are 1, 2, 4, 8, and 16.
We can see that the greatest common factor of 20 and 16 is 4.
Since there is only one ball per paddle, for every package, we need one ball and one paddle. Therefore, we need to pair the balls and paddles in groups of 4.
To find the number of packages, we divide the total number of balls (20) and paddles (16) by the common factor (4):
Number of packages = (20 balls) / (4 balls per package) = 5 packages
Number of packages = (16 paddles) / (4 paddles per package) = 4 packages
To ensure there are no leftover balls or paddles, we take the lesser of the two results. In this case, Rebecca can sell a maximum of 4 packages.