The craft teacher has 12 sheets of blus chart paper and 18 sheets of red chart paper. How many equal piles of chart paper can she make such that each pile has only one colour
Answers
She has 12 blue chart paper and 18 red paper.
To make equal pipe so that each colour is only repeated once, she needs to eliminate 6 paper from the red stack and keep them aside, so that as she can make a stack of blue and red with total one paper of each colour.
It will give a total 6 stacks. The other 6 paper can be added to another coloured stack.
Blue Sheets = 12
Red Sheets = 18
Factors of 12:
12 = 1 x 12
12 = 2 x 6
12 = 3 x 4
Factors of 18:
18 = 1 x 18
18 = 2 x 9
18 = 3 x 6
Common factors of 12 and 18:
Common factors are 1, 2, 3 and 6
⇒ She can make equal piles or 1 sheet, 2 sheets, 3 sheets or 6 sheets
If each pile has 1 sheets,
red sheets = 12 ÷ 1 = 12 piles
blue sheets = 18 ÷ 1 = 18 piles
Total piles = 12 + 18 = 30
If each pile has 2 sheets,
red sheets = 12 ÷ 2 = 6 piles
blue sheets = 18 ÷ 2 = 9 piles
Total piles = 6 + 9 = 15
If each pile has 3 sheets
red sheets = 12 ÷ 3 = 4 piles
blue sheets = 18 ÷ 3 = 6 piles
Total piles = 4 + 6 = 10
If each piles has 6 sheets
red sheets = 12 ÷ 6 = 2 piles
blue sheets = 18 ÷ 6 = 3 piles
Total piles = 2 + 3 = 5
Answer: She can have 30 piles of 1 sheet each, 15 piles or 2 sheets each, 10 piles of 3 sheets each or 5 piles of 6 sheets each