Miss Julie has 51 mochi balls and 45 chocolate bars.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many mochi balls and chocolate bars are there in each bag altogether?
(a)
Factors of 51: 1, 3, 17, 51
Factors of 45: 1, 3, 5, 9, 15, 45
Maximum number of bags
= Highest common factor of 51 and 45
= 3
(b)
Number of mochi balls in each bag
= 51 ÷ 3
= 17
Number of chocolate bars in each bag
= 45 ÷ 3
= 15
Total number of mochi balls and chocolate bars in each bag
= 17 + 15
= 32
Answer(s): (a) 3; (b) 32