At a local country club with 84 members, there are half as
many women as there are men. The next month, 8 women
join and the ratio of women to men is now 3 to 4. How
many men joined or left?
A. 20 left
B. 20 joined
C. 8 joined
D. 8 left
Answers
Answered by
3
Answer:
Answer is
B. 20 joined
Answered by
0
Answer:
8 left
Explanation:
W + M = 84 eq1
W = M/2 or M = 2W eq2
putting eq2 in eq1
W + 2W = 84
3W = 84
W = 28
finding M by putting w = 28 in eq1
28 + M = 84
M = 56
After 8 women joined, ratio became 3:4
28 + 8 / 56 + x = 3 / 4 (let x be number of men who joined or left)
36 / 56 + x = 3 / 4
4(36) = 3(56 + x)
144 = 168 + 3x
144 - 168 = 3x
-24 = 3x
x = -8 (minus indicating 8 men left)
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