Marcus collects donations and sends care packages troops overseas. He has 36 bars of soap and 24 toothbrushes and wants to arrange the items so the packages are identical. What is the greatest number of packages that Marcus can make using all the soap and toothbrushes?
What is the greatest number of packages of soap and toothbrushes that Marcus can make?
Marcus can make at most ? packages.
To find the greatest number of packages that Marcus can make using all the soap and toothbrushes, we need to find the greatest common factor of 36 and 24.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The greatest common factor of 36 and 24 is 12.
Therefore, Marcus can make a maximum of 12 identical packages using all the soap and toothbrushes.
To find the greatest number of packages of soap and toothbrushes that Marcus can make, we need to divide the total number of soap and toothbrushes (36 + 24 = 60) by the greatest common factor (12).
60 รท 12 = 5
Therefore, Marcus can make at most 5 packages.
How many bars of soap and toothbrushes are in each package?
There are ? bars of soap and ? toothbrushes in each package.
Since Marcus can make 12 identical packages and in each package he includes one bar of soap and one toothbrush, each package will have 1 bar of soap and 1 toothbrush.
Therefore, there is 1 bar of soap and 1 toothbrush in each package.