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At a dinner party, 1/5 of the guests are vegetarian. Of those who eat meat, 5/8 choose chicken. What fractional part of the guests eat chicken for dinner?

User Gillyspy
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1 Answer

4 votes

Answer:

1/2 of the guests eat chicken for dinner.

Explanation:

To find out what fraction of the guests eat chicken for dinner, we need to consider the given information about the guests' dietary preferences.

We know that 1/5 of the guests are vegetarian, which means 4/5 of the guests eat meat.

Of those who eat meat, 5/8 choose chicken.

To find the fraction of guests who eat chicken, we can multiply the fractions representing the proportions.

First, let's find the fraction of guests who eat meat: 4/5.

Next, we can multiply the fraction of guests who eat meat by the fraction who choose chicken: (4/5) * (5/8).

When multiplying fractions, we multiply the numerators and denominators separately:

(4 * 5) / (5 * 8) = 20/40.

To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 20:

20/40 = (20 ÷ 20) / (40 ÷ 20) = 1/2.

Therefore, 1/2 of the guests eat chicken for dinner

User Khayam Gondal
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