Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 34 of a cup. Write a multiplication equation to determine the number of people, p, who can be invited to the party.

Respuesta :

Answer:

The equation needed is

[tex]\frac{3}{4}p=423[/tex]

[tex]p=564\ friends[/tex]

Step-by-step explanation:

The correct question is

Clancy has 423 cups of yogurt to share with his friends at a party. Each guest will receive 1 serving of yogurt which is 3/4 of a cup. Write a multiplication equation to determine the number of people, p, who can be invited to the party

we know that

Each guest will receive 3/4 of a cup of yogurt

so

using proportion

Find out the number of people, who can be invited to the party, if Clancy has 423 cups of yogurt to share with his friends

Let

p -----> the number of people

[tex]\frac{1}{(3/4)} =\frac{p}{423}[/tex]

[tex]\frac{3}{4}p=423[/tex] -----> equation needed

[tex]p=\frac{423}{(3/4)}[/tex]

[tex]p=\frac{423*4}{3}[/tex]

[tex]p=\frac{1,692}{3}[/tex]

[tex]p=564\ friends[/tex]