Question

Mrs. MaryAnn is giving treat sacks out for Valentines Day. She has 30 pencils and 42 smiley face stickers. Mrs. Maryann wants each treat sack to be identical with no leftovers Whats the greatest number of treat sacks she can make? How many pencils will be in each treat sack? How many smiley face stickers will be in each treat sack?

Answer 1

6 number treat sacks and

each sack having 5 pencils and 7 smiley face stickers.

Explanation:

Given that:

Number of pencils = 30

Number of smiley face stickers = 42

Mrs. MaryAnn wants to divide everything in identical treat sacks so that there are no leftovers.

To find:

The number of greatest number of treat sacks.

Solution:

First of all, we need to find the Highest Common Factor of the two numbers.

Factorization method:

`30 = \underline2* \underline3* 5`

`42 = \underline2* \underline3 * 7`

Here, the common numbers 2 and 3.

So, highest common factor is
`2* 3 = 6`

If we divide 30 by 6, we get 5 and

If we divide 42 by 6, we get 7

So, if we take 5 pencils and 7 smiley face stickers in one treat sack and if we make 6 such treat sacks then there will be equal division and no leftovers.

Therefore, the answer is:

6 number treat sacks and

each sack having 5 pencils and 7 smiley face stickers.