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

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Math Expert
Joined: 02 Sep 2009
Posts: 58404
Team A and Team B are raising money for a charity event. The ratio of  [#permalink]

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22 Jan 2018, 01:51
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25% (medium)

Question Stats:

78% (01:29) correct 22% (01:31) wrong based on 100 sessions

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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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Re: Team A and Team B are raising money for a charity event. The ratio of  [#permalink]

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22 Jan 2018, 05:01
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

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Re: Team A and Team B are raising money for a charity event. The ratio of  [#permalink]

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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

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Team A and Team B are raising money for a charity event. The ratio of  [#permalink]

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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]

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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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Re: Team A and Team B are raising money for a charity event. The ratio of  [#permalink]

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23 Jan 2018, 08:56
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

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

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Re: Team A and Team B are raising money for a charity event. The ratio of  [#permalink]

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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

Re: Team A and Team B are raising money for a charity event. The ratio of   [#permalink] 12 Aug 2018, 01:58
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