Question

The science club sponsors are ordering caps and shirts for the boys and girls in the science club there are 45 science club members if the caps come in packages of 3 and the shirts come in packages of 5 what is the least number of packages of caps and shirts that need to be ordered

Answer 1

So there's 45 members so
3x15=45 and
5x9=45 so
The shirt number of boxes is 15 and
The cap number of boxes is 9
so the smallest number is 9 so caps

Answer 2

Answer: The least number of packages of caps and shirts that need to be ordered is 15 and 9 respectively.

Explanation:

Given : The science club sponsors are ordering caps and shirts for the boys and girls in the science club.

Number of science club members = 45

The caps come in packages of 3 and the shirts come in packages of 5 .

The least common multiple of 3 and 5 =
`15`

[∵
`3*5=15` ]

Also,
`45=15*3` i.e. 45 is a multiple of 15 and the number of science club members is 45.

Now, the least number of packages of caps needed =
`(45)/(3)=15`

and the least number of packages of shirts needed =
`(45)/(5)=9`

Hence, the least number of packages of caps and shirts that need to be ordered is 15 and 9 respectively.