Adam has 22 beads, 34 marbles and 36 stickers.
- What is the maximum number of bags that he can pack these items equally without any leftover?
- How many beads are there in each bag?
- How many marbles are there in each bag?
- How many marbles and stickers are there in each bag?
Factors of 22: 1, 2, 11, 22
Factors of 34: 1, 2, 17, 34
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Highest common factor: 2
(a)
Maximum number of bags = 2
(b)
Number of beads in each bag
= 22 ÷ 2
= 11
(c)
Number of marbles in each bag
= 34 ÷ 2
= 17
(d)
Number of stickers in each bag
= 36 ÷ 2
= 18
Number of marbles and stickers in each bag
= 17 + 18
= 35
Answer(s): (a) 2; (b) 11; (c) 17; (d) 35