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Team A and team B are raising money for a charity event. The ratio of

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Bunuel
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Team A and Team B are raising money for a charity event. The ratio of [#permalink] New post  22 Jan 2018, 01:51
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Team A and Team B are raising money for a charity event. The ratio of money collected by Team A to money collected by Team B is 5:6. The ratio of the number of students on Team A to the number of students on Team B is 2:3. What is the ratio of money collected per student on Team A to money collected per student on Team B?

(A) 4:5

(B) 5:4

(C) 5:6

(D) 5:9

(E) 9:5
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GMATinsight
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Re: Team A and Team B are raising money for a charity event. The ratio of [#permalink] New post  22 Jan 2018, 05:01
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Bunuel wrote:
Team A and Team B are raising money for a charity event. The ratio of money collected by Team A to money collected by Team B is 5:6. The ratio of the number of students on Team A to the number of students on Team B is 2:3. What is the ratio of money collected per student on Team A to money collected per student on Team B?

(A) 4:5

(B) 5:4

(C) 5:6

(D) 5:9

(E) 9:5


Money ratio a/b = 5/6 i.e. if Money with team A is 5x then Money with team B is 6x
Student ratio a/b = 2/3 i.e. if Number of students in team A is 2y then Students in team B is 3y

Money collected per student in Team A = Money collected by A / Students in A = 5x/2y

Money collected per student in Team B = Money collected by B / Students in B = 6x/3y

Ratio of Money per student of team A to money per student of Team B = (5x/2y) / (6x/3y) = 5/4

Answer: Option B
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Re: Team A and Team B are raising money for a charity event. The ratio of [#permalink] New post  22 Jan 2018, 10:23
GMATinsight wrote:
Bunuel wrote:
Team A and Team B are raising money for a charity event. The ratio of money collected by Team A to money collected by Team B is 5:6. The ratio of the number of students on Team A to the number of students on Team B is 2:3. What is the ratio of money collected per student on Team A to money collected per student on Team B?

(A) 4:5

(B) 5:4

(C) 5:6

(D) 5:9

(E) 9:5


I agree to the same. Should be B
Money ratio a/b = 5/6 i.e. if Money with team A is 5x then Money with team B is 6x
Student ratio a/b = 2/3 i.e. if Number of students in team A is 2y then Students in team B is 3y

Money collected per student in Team A = Money collected by A / Students in A = 5x/2y

Money collected per student in Team B = Money collected by B / Students in B = 6x/3y

Ratio of Money per student of team A to money per student of Team B = (5x/2y) / (6x/3y) = 5/4

Answer: Option B

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pushpitkc
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Team A and Team B are raising money for a charity event. The ratio of [#permalink] New post  22 Jan 2018, 14:25
Bunuel wrote:
Team A and Team B are raising money for a charity event. The ratio of money collected by Team A to money collected by Team B is 5:6. The ratio of the number of students on Team A to the number of students on Team B is 2:3. What is the ratio of money collected per student on Team A to money collected per student on Team B?

(A) 4:5

(B) 5:4

(C) 5:6

(D) 5:9

(E) 9:5


The ratio of money collected by Team A to Team B is 5:6
Lets assume that Team A collected 50$ to the 60$ Team B collects
Also, it has been given that the number of students are in the ratio 2:3
So, for 2 students in Team A, we will have 3 in Team B

Since, we have been asked to find the ratio of the money collected
by a student in both the teams, for Team A, we must have had $25(\(\frac{50}{2}\))
Similarly, Team B will have $20(\(\frac{60}{4}\))

Therefore, ratio of money collected by the teams is $25:$20 = 5:4(Option B)
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Team A and Team B are raising money for a charity event. The ratio of [#permalink] New post  22 Jan 2018, 16:56
Bunuel wrote:
Team A and Team B are raising money for a charity event. The ratio of money collected by Team A to money collected by Team B is 5:6. The ratio of the number of students on Team A to the number of students on Team B is 2:3. What is the ratio of money collected per student on Team A to money collected per student on Team B?

(A) 4:5

(B) 5:4

(C) 5:6

(D) 5:9

(E) 9:5


Let the money collected by Team A & team B be \(5x & 6x\). Also, let the number of students be \(2y & 3y.\)
So, the ratio will be \(\frac{(5x}{2y)/(6x/3y)}\). So, B.
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JeffTargetTestPrep
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Re: Team A and Team B are raising money for a charity event. The ratio of [#permalink] New post  23 Jan 2018, 08:56
Expert Reply
Bunuel wrote:
Team A and Team B are raising money for a charity event. The ratio of money collected by Team A to money collected by Team B is 5:6. The ratio of the number of students on Team A to the number of students on Team B is 2:3. What is the ratio of money collected per student on Team A to money collected per student on Team B?

(A) 4:5

(B) 5:4

(C) 5:6

(D) 5:9

(E) 9:5


We can let the ratio of money collected by Team A to money collected by Team B = 5x : 6x

We can let the ratio of the number of students on Team A to the number of students on Team B = 2y : 3y

So, the ratio of money collected per student on Team A to money collected per student on Team B is:

(5x/2y)/(6x/3y) = 15xy/12xy = 15/12 = 5/4

Answer: B
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Re: Team A and Team B are raising money for a charity event. The ratio of [#permalink] New post  12 Aug 2018, 01:58
Let the ratio of money collected by Team A to Team B = 5x:6x

Let the ratio of the number of students on Team A to Team B = 2y:3y

So, the ratio of money collected per student on Team A to money collected per student on Team B is: Money(Team A)/Student(Team A)/Money(Team B)/Student(Team B)

(5x/2y)/(6x/3y) = 5x*3y/2y*6x= 5/4

Answer(B)
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Re: Team A and team B are raising money for a charity event. The ratio of [#permalink] New post  19 Aug 2018, 11:18
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Bunuel wrote:
Team A and team B are raising money for a charity event. The ratio of money collected by team A to money collected by team B is 5 : 6. The ratio of the number of students on team A to the number of students on team B is 2 : 3. What is the ratio of money collected per student on team A to money collected per student on team B?

(A) 4 : 5
(B) 5 : 4
(C) 5 : 6
(D) 5 : 9
(E) 9 : 5


Ratio of money collected per student on team A to money collected per student on team B=\(\frac{\frac{5}{6}}{2/3}\)=\(\frac{5}{6}*\frac{3}{2}\)=\(\frac{5}{4}\)

Ans. (B)
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Team A and team B are raising money for a charity event. The ratio of [#permalink] New post  27 Oct 2018, 11:44
Why isn't it 2/5 divided by 3/6?

EDIT: N/m figured it out
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Abhishek009
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Re: Team A and team B are raising money for a charity event. The ratio of [#permalink] New post  10 Jun 2023, 08:45
Bunuel wrote:
Team A and Team B are raising money for a charity event. The ratio of money collected by Team A to money collected by Team B is 5:6. The ratio of the number of students on Team A to the number of students on Team B is 2:3. What is the ratio of money collected per student on Team A to money collected per student on Team B?

(A) 4:5

(B) 5:4

(C) 5:6

(D) 5:9

(E) 9:5

\(2*c_A : 3*c_B = 5 : 6\)

Thus, \(2*2.5 : 3*2 = 5 : 6\)

Or, \(c_A : c_B = 2.5 : 2\) or, \(c_A : c_B = 5 : 4\), Answer will be (B)
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Re: Team A and team B are raising money for a charity event. The ratio of [#permalink]
10 Jun 2023, 08:45
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