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

Question

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

(A) 4:5

(B) 5:4

(C) 5:6

(D) 5:9

(E) 9:5

GMATinsight · Answer

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

globaldesi · Answer

pushpitkc · Answer

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)

rahul16singh28 · Answer

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.

JeffTargetTestPrep · Answer

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

jalice · Answer

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)

PKN · Answer

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)

bpdulog · Answer

Why isn't it 2/5 divided by 3/6?

EDIT: N/m figured it out

Abhishek009 · Answer

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)

bumpbot · Answer

Automated notice from GMAT Club BumpBot: 

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

 This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards