Miss Dana has 95 candy canes and 100 caramel apples.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many candy canes and caramel apples are there in each packet altogether?
(a)
Factors of 95: 1, 5, 19, 95
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
Maximum number of packets
= Highest common factor of 95 and 100
= 5
(b)
Number of candy canes in each packet
= 95 ÷ 5
= 19
Number of caramel apples in each packet
= 100 ÷ 5
= 20
Total number of candy canes and caramel apples in each packet
= 19 + 20
= 39
Answer(s): (a) 5; (b) 39