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one ticket for a concert

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by sanju09 » Mon Jul 26, 2010 1:35 am
Every pupil in a school was given one ticket for a concert. The school was charged a total of $6000 for these tickets, all of which were of equal value. What was the price of one ticket?

1. If the price of each ticket had been one dollar less, the total cost would have been 1,200 less.
2. If the price of each ticket had been $2 more, the total bill would have increased by 40 percent.

[spoiler]Source: majortests.com[/spoiler]
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by outreach » Mon Jul 26, 2010 3:24 am
sanju09 wrote:Every pupil in a school was given one ticket for a concert. The school was charged a total of $6000 for these tickets, all of which were of equal value. What was the price of one ticket?

1. If the price of each ticket had been one dollar less, the total cost would have been 1,200 less.
2. If the price of each ticket had been $2 more, the total bill would have increased by 40 percent.

[spoiler]Source: majortests.com[/spoiler]
D
total student be x
m ticket of each price

given 6000/x=m

stmt1
5800/x=m-1..can be rewritten as 5800/x=6000/x-1....
solve for x and then find m
suff

stmt2
(7/5)*6000/x=m+2
(7/5)*6000/x=6000/x+2
solve for x and then find m
suff
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by selango » Mon Jul 26, 2010 5:52 am
n=number of students

p=price of each tickets

np=6000

stmt1,

n(p-1)=4800

np-n=4800

n=1200-->p=5

Suff

stmt2,

n(p+2)=6000+40/100(6000)=8400

np+2n=8400

2n=2400

n=1200-->p=5

Suff

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