Answer
15 plates, 12 napkins and 10 cups
Step-by-step explanation:
To find the least amount, you have to find the lcm of all three numbers. In this case the lcm of 8,10, and 12 is 120. Afterwards you need to divied 120 by all numbers. So 120 divided by 8 is 15, so 15 plates. 120 divided by 10 is 12, so 12 napkins and finally 120 divided by 12 is 10, so 10 cups
The least number of packages of plates, napkins, and cups Maia has to buy so that she has the same number of each Item for her birthday party is 15, 12, and 10, respectively.
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that paper plates come in packages of eight, napkins come in packages of 10, and paper cups come in packages of 12. Therefore, to find the least number of packages of plates napkins and cups Maria has to buy so that she has the same number of each Item for her birthday party, we need to take the LCM of the following.
LCM of 8, 10, and 12 = 120
Now, the number of packages,
[tex]\text{Number of paper plate packs} = \dfrac{120}{8}=15[/tex]
[tex]\text{Number of napkins pack} = \dfrac{120}{10}=12[/tex]
[tex]\text{Number of paper cups pack} = \dfrac{120}{12}=10[/tex]
Hence, the least number of packages of plates, napkins, and cups Maia has to buy so that she has the same number of each Item for her birthday party is 15, 12, and 10, respectively.
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