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

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Team A and team B are raising money for a charity event. The [#permalink]  17 Aug 2018, 18:44
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Question Stats:

64% (01:30) correct 36% (00:48) wrong based on 25 sessions
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
[Reveal] Spoiler: OA

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Re: Team A and team B are raising money for a charity event. The [#permalink]  17 Aug 2018, 21:00
sandy 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

here Ratio for team A to team B money collection is 5:6
The ratio for team A to team B team members is 2:3

so for the team, A collected money by each student is 5/2 same as for the team B it's 6/3 hence 2/1,
now the ratio of money collected per student on team A to money collected per student on team B is 5/2/2 --- > 5 / 2*2 --- > 5:4
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Re: Team A and team B are raising money for a charity event. The [#permalink]  27 Nov 2019, 10:11
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Money Ratio:

A:B = 5:6

No. of Student Ratio:

A:B = 2:3
or. A:B = 4:6

Money Collected Per Student:

Team A: From 4 students, they collected 5\$, ratio -> 5:4
Team B: From 6 students, they collected 6\$, ratio -> 6:6 =1

Then Team A: Team B = (5/4): 1 or, simply 5:4 [Ans:]
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Re: Team A and team B are raising money for a charity event. The [#permalink]  17 Oct 2020, 16:20
Lets pick smart number for both number of student and collection of both group A and B to maintain the ratio. If we assume students are 30, it covers 2:3 = A:B and total collection 110 then it is congruent with 5:6 ratio.

So, Number student in A is 12, B is 18 as A:B = 2:3
On the other hand, Group a Collects 50 and B 60 as, A:B= 5:6

so, 50/12 : 60/18
= 5 : 4
Answer is B
Re: Team A and team B are raising money for a charity event. The   [#permalink] 17 Oct 2020, 16:20
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# Team A and team B are raising money for a charity event. The

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