A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup appetizer. He expects 800 guests at the banquet. Use equivilent ratios to estimate how many cups of soup he should repare

Respuesta :

Answer:

320 cups of soup.

Step-by-step explanation:

Given:

A chef planning for a large banquet thinks that 2 out of every 5 dinner guests will order his soup appetizer.

He expects 800 guests at the banquet.

Question asked:

How many cups of soup he should prepare ?

Solution:

Ratio of soup appetizer to the number of guest =  2 : 5

Now, let number of cups of soup prepare for 800 guests = [tex]x[/tex]

Now, as we have to find through equivalent ratios, we can write it as:-

2 : 5 = [tex]x[/tex] : 800

[tex]\frac{2}{5} =\frac{x}{800} \\\\ By\ cross\ multiplication\\5\times x=2\times800\\5x=1600\\By\ dividing\ both\ sides\ by\ 5\\x=320[/tex]

Thus, he should prepare 320 cups of soup for 800 guests.