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11 Oct 2012, 22:36
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Responding to a pm (Whenever you would like to discuss a particular question, kindly put it in the forum and send me a pm of the link)
Question: At a certain party, ratio of women to men is 20:11. If 7 men arrive the party, the ratio would be 3:2. how many men are currently at the party?
Since the initial ratio is 20:11, we can say that the number of women is 20x and the number of men is 11x. If 7 men arrive, the ratio changes.
\(\frac{20x}{(11x + 7)} = \frac{3}{2}\)
Now you solve for x by cross multiplying and you get x = 3
So 11x = 33 = number of men currently at the party
As for your query:
"But I have another way to solve this problem that old ratio of men to total minus new ratio of men to total = 7
which is
(11/31 - 2/5) x= 7
thenwe should find x from here and multiply with 11/31 and find current men to total situation. Right?
But when I solved this it comes up as x=155. Something I am doing wront. But what it is?Could you please help me."
No. of men currently = 11/31 of total = (11/31)*x
No of men if 7 men arrive will be 2/5 of NEW total = (2/5)*(x+7) (I hope you see your mistake)
The difference between these two numbers is of 7 men.
So (2/5)*(x+7) - (11/31)*x = 7
62*(x+7) - 55x = 7*5*31
x = 93
No of men currently = (11/31)(93) = 33
Isn't this a really long way of arriving at the answer? Try to understand the method given above.
Question: At a certain party, ratio of women to men is 20:11. If 7 men arrive the party, the ratio would be 3:2. how many men are currently at the party?
Since the initial ratio is 20:11, we can say that the number of women is 20x and the number of men is 11x. If 7 men arrive, the ratio changes.
\(\frac{20x}{(11x + 7)} = \frac{3}{2}\)
Now you solve for x by cross multiplying and you get x = 3
So 11x = 33 = number of men currently at the party
As for your query:
"But I have another way to solve this problem that old ratio of men to total minus new ratio of men to total = 7
which is
(11/31 - 2/5) x= 7
thenwe should find x from here and multiply with 11/31 and find current men to total situation. Right?
But when I solved this it comes up as x=155. Something I am doing wront. But what it is?Could you please help me."
No. of men currently = 11/31 of total = (11/31)*x
No of men if 7 men arrive will be 2/5 of NEW total = (2/5)*(x+7) (I hope you see your mistake)
The difference between these two numbers is of 7 men.
So (2/5)*(x+7) - (11/31)*x = 7
62*(x+7) - 55x = 7*5*31
x = 93
No of men currently = (11/31)(93) = 33
Isn't this a really long way of arriving at the answer? Try to understand the method given above.
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