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Katy organised a wedding. Guests had to choose their meal from pasta , chicken or beef . 1/3 of the guests chose pasta . 5/12 of the guests chose chicken . 24 of the guests chose beef. How many guests were at the wedding ?

please help i’ll give brainliest

Respuesta :

absor201

Answer:

There were 96 guests at the wedding.

Step-by-step explanation:

Let,

x be the total number of guests at the wedding.

People who chose pasta = 1/3 of the guests = [tex]\frac{1}{3}x[/tex]

People who chose chicken = [tex]\frac{5}{12}x[/tex]

People who chose beef = 24

Now,

[tex]\frac{1}{3}x+\frac{5}{12}x+24=x\\\\\frac{4x+5x+288}{12}=x\\9x+288 = 12x\\288=12x-9x\\288=3x\\3x=288[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{288}{3}\\x=96[/tex]

Hence,

There were 96 guests at the wedding.