Adam has 90 beads and 40 marbles.
- 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 beads are there in each bag?
(a)
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Highest common factor: 10
Maximum number of bags = 10
(b)
Number of beads in each bag
= 90 ÷ 10
= 9
(c)
Number of marbles in each bag
= 40 ÷ 10
= 4
(d)
Number of beads and marbles
= 9 + 4
= 13
Answer(s): (a) 10; (b) 9; (c) 4; (d) 13