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Answer:

There are 6 cakes.

Each person can eat 1/2 of a cake.

You need to find how many times you can split 6 cakes into 1/2 of a cake.

Obviously, division is the way to go.

6 ÷ 1/2

When dividing by a fraction, you need to turn both parts into fractions.

6/1 ÷ 1/2

Now you skip the first part.

Focus on 1/2

Flip the fraction: 2/1

Now multiply the two fractions together

6/1 *2/1 = 12/1

Therefore 12 people can be at the party.

PLEASE BRAINLIEST

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Answer: 12 people

Step-by-step explanation:

6 total cakes ; everyone eats [tex]\frac{1}{2}[/tex]

6 people would eat 3 cakes because [tex]\frac{1}{2}[/tex] × 6 people = 3 cakes.

However, 12 people would eat 6 cakes because [tex]\frac{1}{2}[/tex] × 12 people = 6 cakes.