Question

Rosy has 16 pencils and 24 erasers. She is putting together packets that will havean equal number of pencils and erasers in each packet. If Rosy uses all of the pencils and erasers, what is the maximum number of packets she can make?

Answer 1

If she puts 2 pencils and 3 erasers in each packet,

Rosy can make a total of 8 packets.

Explanation:

I hope this helps you!

Answer 2

`16 = 2^4`


`24 = 2^3 * 3`


`\text{HCF =}2^3 = 8`

Maximum number of packets = 8

16 ÷ 8 = 2
There are 2 pencils in each packet.

24÷8 = 3
There are 3 erasers in each bag.

Rosy can have a maximum of 8 packets. Each packet has 2 pencils and 3 erasers.