Miss Kylie has 60 mochi balls and 69 candy canes.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many mochi balls and candy canes are there in each packet altogether?
(a)
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 69: 1, 3, 23, 69
Maximum number of packets
= Highest common factor of 60 and 69
= 3
(b)
Number of mochi balls in each packet
= 60 ÷ 3
= 20
Number of candy canes in each packet
= 69 ÷ 3
= 23
Total number of mochi balls and candy canes in each packet
= 20 + 23
= 43
Answer(s): (a) 3; (b) 43