SOLUTION: The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many ad
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Question 1108944: The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
Found 2 solutions by stanbon, ikleyn:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter the fair and $5050 is collected. How many children and how many adults attended?
======
Equations:
a + c = 2200 tickets
4a+1.5c = 5050 dollars
-------------------------------
Modify for elimination::
4a + 4c = 4*2200
4a + 1.5c = 5050
--------------------
Subtract and solve for "c":
3.5c = 3750
-------
c = 1071.43
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Cannot be correct. # of children must be a whole number.
Cheers,
Stan H.
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Answer by ikleyn(52785) (Show Source): You can put this solution on YOUR website!
The admission fee at a small fair is $1.50 for children and $4.00 for adults. On a certain day, 2200 people enter
the fair and $5050 is collected. How many children and how many adults attended?
======
Equations:
a + c = 2200 tickets
4a+1.5c = 5050 dollars
-------------------------------
Modify for elimination::
4a + 4c = 4*2200
4a + 1.5c = 5050
--------------------
Subtract and solve for "c":
2.5c = 3750
-------
c = = 1500.
Answer. 1500 children and 2200 - 1500 = 700 adults.
Solved.
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There is about one thousand solved word problems in this site on establishing and solving systems of 2 equations in 2 unknowns.
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- HOW TO algebreze and solve this problem on 2 equations in 2 unknowns
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- OVERVIEW of lessons on solving systems of two linear equations in two unknowns
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