Miss Penelope has 81 mini cupcakes and 42 chocolate bars.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many mini cupcakes and chocolate bars are there in each packet altogether?
(a)
Factors of 81: 1, 3, 9, 27, 81
Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
Maximum number of packets
= Highest common factor of 81 and 42
= 3
(b)
Number of mini cupcakes in each packet
= 81 ÷ 3
= 27
Number of chocolate bars in each packet
= 42 ÷ 3
= 14
Total number of mini cupcakes and chocolate bars in each packet
= 27 + 14
= 41
Answer(s): (a) 3; (b) 41