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On a certain engineering team, the ratio of engineers with

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On a certain engineering team, the ratio of engineers with [#permalink] New post 15 Feb 2005, 17:50
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On a certain engineering team, the ratio of engineers with advanced degrees to those with bachelor's degrees is 5 to 8. Were 4 more engineers with advanced degrees to join the team, the ratio would be 3 to 4. How many engineers are on the team altogether?
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 [#permalink] New post 15 Feb 2005, 18:08
A/B = 5/8
and (A+4)/B = 3/4
i.e. A/B + 4/B = 3/4
5/8 + 4/B = 3/4
So, B = 32 and A = 20

A+B = 52
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Current Student
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Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 186 [0], given: 2

 [#permalink] New post 15 Feb 2005, 18:12
I got this one wrong! I did the following

A= advanced degrees
b= bachelors

A/B=5/8

(A+4)/b=3/4

solve the 2 equations....
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 [#permalink] New post 15 Feb 2005, 21:58
A/B = 5/8 (A = advanced, B = bachelor)
A = 5x/13, B= 8x/13 (x= total number on team)

Adding 4 to A gives: A = 5x/12 + 4 = 5x+3/12

A/B = 3/4 = 5x+52/12 * 12/8x = 5x+52/8x
Solve for x:
x = 52
Current Student
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Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 186 [0], given: 2

 [#permalink] New post 16 Feb 2005, 06:41
OA is 52.....

but as always pay attention to the problem....I selected 20! totally forgot the question was asking about total number of engineers..... :roll:
  [#permalink] 16 Feb 2005, 06:41
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