Miss Pamela has 81 lollipops and 36 chocolate bars.
- What is the maximum number of bags she can pack these items equally into without any left over?
- How many lollipops and chocolate bars are there in each bag altogether?
(a)
Factors of 81: 1, 3, 9, 27, 81
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Maximum number of bags
= Highest common factor of 81 and 36
= 9
(b)
Number of lollipops in each bag
= 81 ÷ 9
= 9
Number of chocolate bars in each bag
= 36 ÷ 9
= 4
Total number of lollipops and chocolate bars in each bag
= 9 + 4
= 13
Answer(s): (a) 9; (b) 13