Miss Cathy has 85 mini cupcakes and 50 mochi balls.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many mini cupcakes and mochi balls are there in each bag altogether?
(a)
Factors of 85: 1, 5, 17, 85
Factors of 50: 1, 2, 5, 10, 25, 50
Maximum number of bags
= Highest common factor of 85 and 50
= 5
(b)
Number of mini cupcakes in each bag
= 85 ÷ 5
= 17
Number of mochi balls in each bag
= 50 ÷ 5
= 10
Total number of mini cupcakes and mochi balls in each bag
= 17 + 10
= 27
Answer(s): (a) 5; (b) 27