Question

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 equivalent ratios to estimate how many cups of soup he should prepare.

Answer 1

2:5 is a part to whole ratio.

2/5=x/800

so we cross multiply to get:

5x=1600

x=320

320 cups of soup

Answer 2

The chef should prepare a total of 320 cups of soup.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

For example, 2/7 is a ratio while x ∝ y is a direct and x ∝ 1/y is an inverse proportion.

Given,

2 out of 5 people take soup appetizer

Let's say x number of people out of 800 take soup appetizer.

Then

x/800 will be that fraction which should be equivalent to the 2/5

So,

x/800 = 2/5 ⇒ x = 320

Hence, the chef should prepare a total of 320 cups of soup.

For more information about ratio and proportion,

brainly.com/question/26974513

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