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# A child bus ticket costs

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A child bus ticket costs [#permalink]  22 Sep 2016, 10:18
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A child bus ticket costs $0.40 and an adult’s ticket costs$0.70. If a group of 11 pays $5.90 ?  Quantity A Quantity B Number of children Number of Adults A)The quantity in Column A is greater. B)The quantity in Column B is greater. C)The two quantities are equal. D)The relationship cannot be determined from the information given. [Reveal] Spoiler: OA Last edited by Sonalika42 on 22 Sep 2016, 20:42, edited 1 time in total. GRE Prep Club Legend Joined: 07 Jun 2014 Posts: 4856 GRE 1: Q167 V156 WE: Business Development (Energy and Utilities) Followers: 102 Kudos [?]: 1737 [1] , given: 397 Re: A child bus ticket costs [#permalink] 22 Sep 2016, 11:24 1 This post received KUDOS Expert's post Let the number of adults be x and children be y. There are a total of 11 people. $$x+y=11$$..............(i) Also we know that adults pay$0.70 for ticket and children pay $0.40. And total sum payed by the group is$5.90

So $$0.7x + 0.4y=5.90$$ or $$7x + 4y=59$$.................(ii)

Solving equations (i) and (ii)....

x= 5 y=6

So Number of children is greater hence option A is correct.
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Re: A child bus ticket costs [#permalink]  13 Nov 2016, 07:14
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Sonalika42 wrote:
A child bus ticket costs $0.40 and an adult’s ticket costs$0.70. If a group of 11 pays $5.90 ?  Quantity A Quantity B Number of children Number of Adults IMPORTANT CONCEPT: If the number of children equaled the number of adults, then the AVERAGE ticket price would equal the AVERAGE of$0.40 and $0.70 (which is$0.55)
In this question, the average ticket price = $5.90/11 ≈$0.54
Since $0.54 is closer to$0.40 (price of child ticket) than it is to $0.70 (price of adult ticket), we can conclude that there must be more children than adults. Answer: A RELATED VIDEO (related info starts at 6:00) _________________ Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Day emails Manager Joined: 03 Dec 2017 Posts: 65 Followers: 0 Kudos [?]: 15 [0], given: 20 Re: A child bus ticket costs [#permalink] 21 Dec 2017, 00:28 GreenlightTestPrep wrote: Sonalika42 wrote: A child bus ticket costs$0.40 and an adult’s ticket costs $0.70. If a group of 11 pays$5.90 ?

 Quantity A Quantity B Number of children Number of Adults

IMPORTANT CONCEPT: If the number of children equaled the number of adults, then the AVERAGE ticket price would equal the AVERAGE of $0.40 and$0.70 (which is $0.55) In this question, the average ticket price =$5.90/11 ≈ $0.54 Since$0.54 is closer to $0.40 (price of child ticket) than it is to$0.70 (price of adult ticket), we can conclude that there must be more children than adults.

[Reveal] Spoiler:
A

RELATED VIDEO (related info starts at 6:00)

I love this! it is very helpful
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Re: A child bus ticket costs [#permalink]  01 Mar 2018, 05:07
Based on the condition,
Let's say number of Children = x

So,

0.4x + 0.7y = 5.9
Also,
x + y = 11

By solving the two equations simultaneously, we'll get:

x = 6, and y = 5

So

Choice A correct.
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Re: A child bus ticket costs [#permalink]  11 Mar 2018, 07:13
0.4x + 0.7y = 5.9
x + y = 11

x = 6, and y = 5
Re: A child bus ticket costs   [#permalink] 11 Mar 2018, 07:13
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