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

Respuesta :

Answer:

He should prepare 320 cups of soup.

Step-by-step 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 [tex]x.[/tex]

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, [tex]x[/tex] is equivalent to 800.

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

[tex]\frac{2}{5} =\frac{x}{800}[/tex]

By cross multiplying we get:

[tex]1600=5x[/tex]

Dividing both sides by 5 we get:

[tex]320=x\\\\x=320\ cups.[/tex]

Therefore, he should prepare 320 cups of soup.

Answer:

The chef should prepare 320 cups of soup.

Step-by-step explanation:

Given:

Expected number of guests in the banquet = [tex]800[/tex]

Ratio of guests,to order appetizer (i.e soup) = [tex]\frac{2}{5}[/tex]

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,

⇒ [tex]\frac{2}{5} = \frac{x}{800}[/tex]

⇒ Cross multiplying the terms.

⇒ [tex]5x=1600[/tex]

⇒ Dividing with 5 on both sides.

⇒ [tex]x=\frac{1600}{5}[/tex]

⇒ [tex]x=320[/tex] cups.

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