Question

3/4 of the attendees at a banquet are men. if 1/2 of the men and 2/5 of the women chose chicken as their entrée, what fraction of all attendees at the banquet chose chicken as their entrée?

Answer 1

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Here is the solution:

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Find the fraction of women at the banquet:

Fraction of men = 3/4

Fraction of women = 1 - 3/4 = 1/4

Find the fraction of men who chose chicken as entrée:

1/2 x 3/4 = 3/8

Find the fraction of women who chose chicken as entrée:

2/5 x 1/4 = 1/10

Total fraction of the attendees who chose chicken as entrée:

3/8 + 1/10 = 19/40

Answer: 19/40 of the attendees chose chicken as entrée