SOLUTION: In a club, the number of male members is 3 more than a half of the total number of members. The numbers of female members is 4 more than 1/3 of the total number of members. Is it p

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Question 1054036: In a club, the number of male members is 3 more than a half of the total number of members. The numbers of female members is 4 more than 1/3 of the total number of members. Is it possible that the total number of members is over 40 ?
Found 3 solutions by josgarithmetic, jorel555, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
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x females
y males
system%28y=3%2B%281%2F2%29%28x%2By%29%2Cx=4%2B%281%2F3%29%28x%2By%29%29
QUESTION: Can x%2By%3E40 ?

system%282y=6%2Bx%2By%2C3x=12%2Bx%2By%29

system%28y=6%2Bx%2C2x=12%2By%29

2x=12%2B6%2Bx
x=18
-
y=6%2B18
y=24
-
TOTAL MEMBERS x%2By=18%2B24=30%2B12=highlight%2842%29

Answer by jorel555(1290) About Me  (Show Source):
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Let n be the total number of members. Then the males are (n/2)+3, and females are (n/3)+4. So:
(n/2)+3+(n/3)+4=n
3n+2n+42=6n
n=42, and 42 IS greater than 40. ☺☺☺☺

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

In a club, the number of male members is 3 more than a half of the total number of members. The numbers of female members is 4 more than 1/3 of the total number of members. Is it possible that the total number of members is over 40 ?
Let number of members be M

Then number of males = matrix%281%2C3%2C+%281%2F2%29+%2A+M+%2B+3%2C+or%2C+M%2F2+%2B+3%29

Number of females = matrix%281%2C3%2C+%281%2F3%29+%2A+M+%2B+4%2C+or%2C+M%2F3+%2B+4%29

We then get: M%2F2+%2B+3+%2B+M%2F3+%2B+4+=+M____M%2F2+%2B+M%2F3+%2B+7+=+M

3M + 2M + 42 = 6M ------- Multiplying by LCD, 6

42 = 6M - 5M

M, or number of members = 42

Can you answer the question now?