Respuesta :
if each person would get one napkin and one cup then you would need to buy 3 cup packages and 4 napkin packages
Answer:
3 package of cups and 4 packages of napkins
Step-by-step explanation:
Given: sixty people are invited to a party.There are 24 cups in a package and 18 napkins in a package.
To Find: least number of packages of cups and napkins that can be bought if each party guest gets one cup and one napkin.
Solution:
Number of cups in a package = [tex]24[/tex]
Number of napkins in a package = [tex]18[/tex]
let total number of package of cups be = [tex]\text{x}[/tex]
equation of total cups bought = [tex]24\times\text{x}[/tex]
let total number of package of napkins be = [tex]\text{y}[/tex]
equation of total napkins bought = [tex]18\times\text{y}[/tex]
Total people invited to the party = [tex]60[/tex]
as party guest gets one cup and one napkin
total cups required = [tex]60[/tex]
total package of cups bought
[tex]24\times\text{x}[/tex]≥ [tex]60[/tex]
[tex]\text{x}[/tex]≥[tex]\frac{60}{24}[/tex]
[tex]\text{x}[/tex]≥[tex]2.5[/tex]
number of package should be an integer therefore [tex]\text{x}=3[/tex]
total napkins required = [tex]60[/tex]
[tex]18\times\text{y}[/tex]≥ [tex]60[/tex]
[tex]\text{y}[/tex]≥[tex]\frac{10}{3}[/tex]
as number of package are integer y must be 4
Least number of packages of cups bought are 3 and napkins is 4