Miss Jean has 63 mochi balls and 56 mini cupcakes.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many mochi balls and mini cupcakes are there in each bag altogether?
(a)
Factors of 63: 1, 3, 7, 9, 21, 63
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Maximum number of bags
= Highest common factor of 63 and 56
= 7
(b)
Number of mochi balls in each bag
= 63 ÷ 7
= 9
Number of mini cupcakes in each bag
= 56 ÷ 7
= 8
Total number of mochi balls and mini cupcakes in each bag
= 9 + 8
= 17
Answer(s): (a) 7; (b) 17