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

3 package of cups and 4 packages of napkins

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*\text{x}`

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

equation of total napkins bought =
`18*\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*\text{x}`≥
`60`

`\text{x}`≥
`(60)/(24)`

`\text{x}`≥
`2.5`

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

total napkins required =
`60`

`18*\text{y}`≥
`60`

`\text{y}`≥
`(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