Miss Sabrina has 72 lollipops and 56 mini cupcakes.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many lollipops and mini cupcakes are there in each packet altogether?
(a)
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
Maximum number of packets
= Highest common factor of 72 and 56
= 8
(b)
Number of lollipops in each packet
= 72 ÷ 8
= 9
Number of mini cupcakes in each packet
= 56 ÷ 8
= 7
Total number of lollipops and mini cupcakes in each packet
= 9 + 7
= 16
Answer(s): (a) 8; (b) 16