High School

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Farmer Brown has a turkey farm. Half of his turkeys are male, and one-third of the male turkeys are considered tall. What fraction of Farmer Brown's turkeys are male and tall?

A. 1/2
B. 1/3
C. 1/6
D. 1/4

Answer :

Final answer:

The fraction of turkeys that are male and tall, multiply the fraction of male turkeys (1/2) by the fraction of those that are tall (1/3). The result is 1/6, indicating that one-sixth of the turkeys are both male and tall. Option C.

Explanation:

The fraction of Farmer Brown's turkeys that are both male and tall, we need to multiply the fraction of the turkeys that are male by the fraction of those male turkeys that are tall.

1/2 of Farmer Brown's turkeys are male. Of those males, 1/3 are considered tall. Therefore, we multiply these fractions to determine the fraction of all turkeys that are both male and tall:

½ (males) × ⅓ (tall males among males) = ⅖

So, the answer is ⅖, which means that one-sixth of Farmer Brown's turkeys are both male and tall.

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