Miss Jaslyn has 42 caramel apples and 96 mochi balls.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many caramel apples and mochi balls are there in each bag altogether?
(a)
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Maximum number of bags
= Highest common factor of 42 and 96
= 6
(b)
Number of caramel apples in each bag
= 42 ÷ 6
= 7
Number of mochi balls in each bag
= 96 ÷ 6
= 16
Total number of caramel apples and mochi balls in each bag
= 7 + 16
= 23
Answer(s): (a) 6; (b) 23