Mrs. Silverstein bought 3 mini cakes for a birthday party. She cuts each cake into quarters and plans to serve each guest 1 quarter of a cake. How many guests can she serve with all her cakes? Show your work.

Respuesta :

with that much cake and the way its cut she will be able to serve 12 guest because the number of cakes (3) you will have to multiply by the number of pieces that you cut from each cake (4) 
so 3*4=12 and thats the answer tell me if im wrong

She can serve a total of 12 persons.

  • Amount of cakes she bought = 3
  • Number of piece of cake she planned to serve her guests = 1 quarter of the cake (otherwise expressed as [tex]\frac{1}{4}[/tex] )

Further Explanation

To determine how many guests she can serve, we have to complete the following steps:

Step 1:

We will divide the amount of cakes she bought (3) by the number of piece of cake she planned to serve her guests ( [tex]\frac{1}{4}[/tex] ) i.e. 3 ÷ [tex]\frac{1}{4}[/tex]

Step 2:

Since we are dividing a whole number (3) by a fraction ( [tex]\frac{1}{4}[/tex] ), we would need to do two things:  

  1. We have to convert the division sign (÷) to multiplication (x) i.e. (÷) become (x)
  2. We have to exchange the places of the numerator and denominator of the fraction ( [tex]\frac{1}{4}[/tex] ) i.e. ( [tex]\frac{1}{4}[/tex] ) becomes ( [tex]\frac{4}{1}[/tex]  )  

Therefore, we have 3 x [tex]\frac{4}{1}[/tex]  

Step 3:

We multiply the whole number (3) by the numerator of the fraction, and then divide the derived value by the denominator of the fraction.

Therefore we have (3 x 4) / 1 = 12

Step 1 to 3 joined together:

= 3 ÷ [tex]\frac{1}{4}[/tex]

= 3 x [tex]\frac{4}{1}[/tex]  

= (3 x 4) / (1)

= (12) / (1)

= 12

LEARN MORE:

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KEYWORDS:

  • Mrs. Silverstein
  • 3 mini cakes
  • 1 quarter of a cake
  • guests
  • birthday party
  • fraction