Answer:
Marcus can make 12 packages, with 2 toothbrushes and 3 bars of soap in each package.
Step-by-step explanation:
For all the packages to be identical, they must all contain the same numbers of soaps and the same nuber of toothbrushes.
The ratior of soaps to brushes is 36/24 = 3/2
He could make 24 packages, each with 1 tootbrush and (3/2) bars of soap.
Assuming he is not going to cut soap bars in half, that is no good.
To make the numbers of individual items come out as integers, the smallest number he can multiply them by is the denominator on the (3/2) bar of soap. That would be a 2.
So he can makes packages with toothbrushes = 2 x 1 =2
and soap bars = 3/2 x 2 = 3
He can put 5 items in each package - 3 soap bars and 2 toothbrushes.
That means he makes 12 packages.
