In a small town, there are 4 times as many left-handed males as there are left-handed females, and there are 3 times as many right-handed females as there are right-handed males. There are a total of 204 males and 348 females in the town. Let x represent the number of left-handed females, and let y represent the number of right-handed males. Write a system of equations to represent the situation. What is the value of x , the number of left-handed females?
Let x be the number of left-handed females and y the number of right-handed males. Then left-handed males = 4x and right-handed females = 3y, so the totals give 4x + y = 204 and x + 3y = 348. Substituting y = 204 − 4x into the second equation gives x + 3(204 − 4x) = 348, so x = 24. The number of left-handed females is 24, choice D.
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