Miss Fiona has 85 mochi balls and 80 candy canes.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many mochi balls and candy canes are there in each bag altogether?
(a)
Factors of 85: 1, 5, 17, 85
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Maximum number of bags
= Highest common factor of 85 and 80
= 5
(b)
Number of mochi balls in each bag
= 85 ÷ 5
= 17
Number of candy canes in each bag
= 80 ÷ 5
= 16
Total number of mochi balls and candy canes in each bag
= 17 + 16
= 33
Answer(s): (a) 5; (b) 33