Question

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?

Answer 1

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

Answer 2

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 = $24$

Number of napkins in a package = $18$

let total number of package of cups be = $\text{x}$

equation of total cups bought = $24\times\text{x}$

let total number of package of napkins be = $\text{y}$

equation of total napkins bought = $18\times\text{y}$

Total people invited to the party = $60$

as  party guest gets one cup and one napkin

total cups required =  $60$

total package of cups bought

$24\times\text{x}$≥ $60$

    $\text{x}$≥$\frac{60}{24}$

$\text{x}$≥$2.5$

number of package should be an integer therefore $\text{x}=3$

total napkins required = $60$

$18\times\text{y}$≥ $60$

$\text{y}$≥$\frac{10}{3}$

as number of package are integer y must be 4

Least number of packages of cups bought are 3 and napkins is 4