Question
Name Lelant.
lord milcheiLs
3-2
Lana owns an office supply shop. At the beginning of each
school year, she chooses two or three products to donate
to the local middle school.
1.
The table shows the school supplies
that Lana has in her shop and how many
School Supplies
Numbi
Stol
of each kind she has in
stock. Lana is
Packages of pencils
considering different options of supplies Packages of markers
to donate. For each option, determine
the greatest number
of identical boxes
Notebooks
she could pack and the number of each
Erasers
supply item she could put in the boxes.
Folders
a.
Option 1: Packages of pencils and erasers
b. Option 2: Notebooks and folders
C. Option 3: Erasers, packages of markers, and folders
2. Lana considers a fourth option that would include folders, erasers,
and packages of markers. Explain why this combination of supplies
would not work.
3.
Lana needs to order supplies for the upcoming month. Her
supplier sells pencils in boxes of 12, markers in boxes of 10,
notebooks in boxes of 4, erasers in boxes of 6, and folders in boxes
of 15. What is the least number of boxes of each supply item that
Lana could order to have the same number of each item delivered*
How many of each item will she get?
Answer
Option 1: Packages of pencils and erasers - greatest number of identical boxes: 6, number of each supply item: 12 pencils and 6 erasers. Option 2: Notebooks and folders - greatest number of identical boxes: 4, number of each supply item: 4 notebooks and 4 folders. Option 3: Erasers, packages of markers, and folders - greatest number of identical boxes: 3, number of each supply item: 6 erasers, 10 markers, and 3 folders. The fourth option would not work because it would not be possible to pack the supplies into identical boxes. To order the same number of each item, Lana would need to order 12 boxes of pencils, 10 boxes of markers, 4 boxes of notebooks, 6 boxes of erasers, and 15 boxes of folders. She would get a total of 120 pencils, 100 markers, 40 notebooks, 60 erasers, and 150 folders.