Miss Gwen has 60 chocolate bars and 48 lollipops.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many chocolate bars and lollipops are there in each packet altogether?
(a)
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Maximum number of packets
= Highest common factor of 60 and 48
= 12
(b)
Number of chocolate bars in each packet
= 60 ÷ 12
= 5
Number of lollipops in each packet
= 48 ÷ 12
= 4
Total number of chocolate bars and lollipops in each packet
= 5 + 4
= 9
Answer(s): (a) 12; (b) 9