Answer:
Cups: 5 packages,
Lids: 4 packages.
Step-by-step explanation:
We have been given that cups come in packages if 12 and lids come in packages of 15. We are asked to find the least of number of cups and lids that Corrine can buy if she wants to have the same number of cups and lids.
To solve our given problem, we need to find least common multiple of 12 and 15.
Prime factorization of 12: [tex]2\times 2\times 3[/tex].
Prime factorization of 15: [tex]5\times 3[/tex].
[tex]\text{LCM of 12 and 15}=2\times 2\times 3\times 5[/tex]
[tex]\text{LCM of 12 and 15}=60[/tex]
Now, we will divide 60 by 12 and 15 separately as:
[tex]\text{Least number of cup's packages}=\frac{60}{12}[/tex]
[tex]\text{Least number of cup's packages}=5[/tex]
Therefore, Corrine should buy 5 packages of cups.
[tex]\text{Least number of lid's packages}=\frac{60}{15}[/tex]
[tex]\text{Least number of lid's packages}=4[/tex]
Therefore, Corrine should buy 4 packages of lids.
