Miss Tammy has 60 chocolate bars and 95 mini cupcakes.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many chocolate bars and mini cupcakes are there in each packet altogether?
(a)
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Factors of 95: 1, 5, 19, 95
Maximum number of packets
= Highest common factor of 60 and 95
= 5
(b)
Number of chocolate bars in each packet
= 60 ÷ 5
= 12
Number of mini cupcakes in each packet
= 95 ÷ 5
= 19
Total number of chocolate bars and mini cupcakes in each packet
= 12 + 19
= 31
Answer(s): (a) 5; (b) 31