Question

The school cafeteria needs to buy 200 new forks. If each package contains 9 forks, how many packages should the cafeteria buy?

Answer 1

23 packages

Explanation:

We are told that the school cafeteria needs to buy 200 new forks. Each package contains 9 forks.

To find the number of packages that school cafeteria should buy we will divide total number of needed forks by number of forks in each pack.

`\text{The number of fork packages}=(200)/(9)`

`\text{The number of fork packages}=22.22222`

Since forks come in package of 9, so cafeteria have to buy whole number packages.

Let us round up our answer to the whole number.

`\text{The number of fork packages}=22.22222\approx 23`

Therefore, school cafeteria should buy 23 packages of forks.

Answer 2

23 packages should the cafeteria buy.

Explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement: The school cafeteria needs to buy 200 new forks. If each package contains 9 forks.

then by definition of Proportion;

`(1)/(9) = (x)/(200)` , where x represents the package

By cross multiply;

200 = 9x

Divide both sides by 9 we get;

`(200)/(9) =(9x)/(9)`

Simplify:

`x = (200)/(9) =22.222`

Therefore, 23 package should the cafeteria buy.