Answer :
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
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: The least number of packages of caps and shirts that need to be ordered is 15 and 9 respectively.
Step-by-step 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 =[tex]15[/tex]
[∵ [tex]3\times5=15[/tex] ]
Also, [tex]45=15\times3[/tex] 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 =[tex]\dfrac{45}{3}=15[/tex]
and the least number of packages of shirts needed =[tex]\dfrac{45}{5}=9[/tex]
Hence, the least number of packages of caps and shirts that need to be ordered is 15 and 9 respectively.