jamie47
contestada

sixty people are invited to a party.There are 24 cups in a package and 18 napkins in a package . What is the least number of packages of cups and napkins that can be bought if each party guest gets one cup and one napkin?

Respuesta :

if each person would get one napkin and one cup then you would need to buy 3 cup packages and 4 napkin packages
aachen

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

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