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A child bus ticket costs

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A child bus ticket costs [#permalink] New post 22 Sep 2016, 10:18
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Question Stats:

57% (01:11) correct 42% (02:31) wrong based on 21 sessions
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.
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Re: A child bus ticket costs [#permalink] New post 22 Sep 2016, 11:24
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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] New post 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)

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Re: A child bus ticket costs [#permalink] New post 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.

Answer:
[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] New post 01 Mar 2018, 05:07
Based on the condition,
Let's say number of Children = x
number of Adults = y

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] New post 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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