# Marcus collects donations and sends care packages to 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 12 packages. ) How many bars of soap and toothbrushes are in each package? 2 toothbrushes in each pockage 6) There are ? bars of soap and ? toothbrushes in each package?​

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## Question:

Marcus collects donations and sends care packages to 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 12 packages. ) How many bars of soap and toothbrushes are in each package? 2 toothbrushes in each pockage 6) There are ? bars of soap and ? toothbrushes in each package?​

The greatest number of packages is 12 with 2 toothbrushes and 3 soap bars in each package.

It is given that the Marcus has 36 bars and 24 toothbrushes and wants to arrange the items so the packages are identical.

It is required to find the greatest number of packages that Marcus can make using all the soap and toothbrushes.

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### What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

Marcus has number of bars of soap = 36  and

Number of tooothbrush = 24

The ratio of soap bars to toothbrushes = 36:24  or

= 3:2

It meanse Marcus can make 24 packets with soap bars and toothbrush

Because there are 24 toothbrushes but the number of bars can not be in fraction so multiply by 2 on denominator, we get:

Number of toothbrushes = 2×1 = 2

Number of soap bars = ×2 = 3

Now he can make total 12 packets with 2 toothbrushes and 3 soap bars.

Sum of toothbrushes and soap bars = 24+36 = 40

Number of soap bars and toothbrush in each packet = 2+3 = 5

Number of packages= = 12

Thus, the greatest number of packages is 12 with 2 toothbrushes and 3 soap bars.