Miss Gem has 48 caramel apples and 69 chocolate bars.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many caramel apples and chocolate bars are there in each packet altogether?
(a)
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 69: 1, 3, 23, 69
Maximum number of packets
= Highest common factor of 48 and 69
= 3
(b)
Number of caramel apples in each packet
= 48 ÷ 3
= 16
Number of chocolate bars in each packet
= 69 ÷ 3
= 23
Total number of caramel apples and chocolate bars in each packet
= 16 + 23
= 39
Answer(s): (a) 3; (b) 39