Miss Wendy has 72 chocolate bars and 78 caramel apples.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many chocolate bars and caramel apples are there in each packet altogether?
(a)
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 78: 1, 2, 3, 6, 13, 26, 39, 78
Maximum number of packets
= Highest common factor of 72 and 78
= 6
(b)
Number of chocolate bars in each packet
= 72 ÷ 6
= 12
Number of caramel apples in each packet
= 78 ÷ 6
= 13
Total number of chocolate bars and caramel apples in each packet
= 12 + 13
= 25
Answer(s): (a) 6; (b) 25