Miss Lynn has 51 mini cupcakes and 84 caramel apples.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many mini cupcakes and caramel apples are there in each bag altogether?
(a)
Factors of 51: 1, 3, 17, 51
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Maximum number of bags
= Highest common factor of 51 and 84
= 3
(b)
Number of mini cupcakes in each bag
= 51 ÷ 3
= 17
Number of caramel apples in each bag
= 84 ÷ 3
= 28
Total number of mini cupcakes and caramel apples in each bag
= 17 + 28
= 45
Answer(s): (a) 3; (b) 45