Question

A chef planning for a large banquet think that 2 out of every 5 dinner guest will order his group appetizer . He expects 800 guests at the banquet .Use equivalent ratio to estimate how many cups of soup he should prepare

Answer 1

The chef should prepare 320 cups of soup.

Explanation:

Given:

Expected number of guests in the banquet =
`800`

Ratio of guests,to order appetizer (i.e soup) =
`(2)/(5)`

We have to use equivalent ratio,to estimate number of cups of soup the chef should prepare.

Equivalent ratio express same relationship between numbers.

Let the number of cups be 'x' .

Expected ratios of cups will be equal to the ratio of cups ordered and total number of guests.

So,

⇒
`(2)/(5) = (x)/(800)`

⇒ Cross multiplying the terms.

⇒
`5x=1600`

⇒ Dividing with 5 on both sides.

⇒
`x=(1600)/(5)`

⇒
`x=320` cups.

The chef should prepare 320 cups of soup for the banquet.

Answer 2

He should prepare 320 cups of soup.

Explanation:

Given:

A chef planning for a large banquet think that 2 out of every 5 dinner guest will order his soup appetizer . He expects 800 guests at the banquet.

Now, to find the cups of soup he should prepare.

Let the number of cups he should prepare be
`x.`

Total number of guests expected at the banquet hall = 800.

As, 2 out of every 5 dinner guest will order his soup appetizer.

So, 2 is equivalent to 5.

Thus,
`x` is equivalent to 800.

Now, to get the number of cups by using cross multiplication method:

`(2)/(5) =(x)/(800)`

By cross multiplying we get:

`1600=5x`

Dividing both sides by 5 we get:

`320=x\\\\x=320\ cups.`

Therefore, he should prepare 320 cups of soup.