Miss Rachel has 51 sweets and 30 mini cupcakes.
- What is the maximum number of packets she can pack these items equally into without any left over?
- How many sweets and mini cupcakes are there in each packet altogether?
(a)
Factors of 51: 1, 3, 17, 51
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Maximum number of packets
= Highest common factor of 51 and 30
= 3
(b)
Number of sweets in each packet
= 51 ÷ 3
= 17
Number of mini cupcakes in each packet
= 30 ÷ 3
= 10
Total number of sweets and mini cupcakes in each packet
= 17 + 10
= 27
Answer(s): (a) 3; (b) 27