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A child bus ticket costs
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Updated on: 22 Sep 2016, 20:42
Updated on: 22 Sep 2016, 20:42
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73% (01:16) correct
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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 ?
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.
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.
Originally posted by Sonalika42 on 22 Sep 2016, 10:18.
Last edited by Sonalika42 on 22 Sep 2016, 20:42, edited 1 time in total.
Last edited by Sonalika42 on 22 Sep 2016, 20:42, edited 1 time in total.
Re: A child bus ticket costs
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22 Sep 2016, 11:24
22 Sep 2016, 11:24
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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.
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
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13 Nov 2016, 07:14
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
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