Miss Lucy has 75 lollipops and 27 mochi balls.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many lollipops and mochi balls are there in each bag altogether?
(a)
Factors of 75: 1, 3, 5, 15, 25, 75
Factors of 27: 1, 3, 9, 27
Maximum number of bags
= Highest common factor of 75 and 27
= 3
(b)
Number of lollipops in each bag
= 75 ÷ 3
= 25
Number of mochi balls in each bag
= 27 ÷ 3
= 9
Total number of lollipops and mochi balls in each bag
= 25 + 9
= 34
Answer(s): (a) 3; (b) 34