Question

2 tana owns an office suppy shop. At the beginning of each school year, shechoses two or three prochets to donate to the local middle schoolThe table shows the school supplies that Lana has in her shop and how manyof each kind she has in stock, tana is considering different options ofsupplies to donate For each option determine the greatest number ofidentical boxes she could pack and the number of each supply item she couldput in the boxesSchool Supplies Number inStockPackages arencils

Answer 1

Number of boxes: 2262

Number of packages of pencils: 29

Number of Erasers in Each Box: 26

1) Considering that we want to know the greatest number of identical boxes She could pack, then we need to find out the LCM (Least Common Multiple) of 78 and 87 to get the greatest number of identical boxes.

2) Pencils and erasers:

Let's find out the Least Common Multiple of 78 and 87.

Divide by prime numbers.

Repeat it down when it's not divisible.

At the end multiply the prime numbers to the right.

Dividing by prime numbers we'll get the: 3 x 2 x 13 x 29 = 2262 identical boxes for pencils and erasers.

2.2) The number of boxes:

2262

Number of packages of pencils in Each Box: 2262: 78= 29

Number of packages of erasers in Each box: 2262: 87 =26

3) Hence, the answer is:

Number of boxes 2262

Number of packages of pencils in Each Box: 2262 : 78= 29

Number of packages of erasers in Each box: 2262: 87 =26