SOLUTION: At an entertainment, the price of admission was $65 cents for children and $1.50 for adults. If the total amount received was $95 for a total of 103 tickets, find the number of adm

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Question 799563: At an entertainment, the price of admission was $65 cents for children and $1.50 for adults. If the total amount received was $95 for a total of 103 tickets, find the number of admissions of each kind.
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
x= Number of adult tickets
y= Number of child tickets

1.00 x + 1.00 y = 103.00 .............1
Total value
1.50 x 0.65 y = 95.00 .............2
Eliminate y
multiply (1)by 0.65
Multiply (2) by -1.00
0.65 x 0.65 y = 66.95
-1.50 x -0.65 y = -95.00
Add the two equations
-0.85 x = -28.05
/ -0.85
x = 33
plug value of x in (1)
1.00 x + 1.00 y = 103.00
33.00 + y = 103.00
y = 103.00 -33.00
y = 70.00
y = 70
x= 33 Number of adult tickets
y= 70 Number of child tickets
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