Miss Gem has 27 chocolate bars and 48 mochi balls.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many chocolate bars and mochi balls are there in each bag altogether?
(a)
Factors of 27: 1, 3, 9, 27
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Maximum number of bags
= Highest common factor of 27 and 48
= 3
(b)
Number of chocolate bars in each bag
= 27 ÷ 3
= 9
Number of mochi balls in each bag
= 48 ÷ 3
= 16
Total number of chocolate bars and mochi balls in each bag
= 9 + 16
= 25
Answer(s): (a) 3; (b) 25