SOLUTION: Good evening friends Merry Christmas!!!!! PleaSE hELP, I need to figure out and understand how to do an Equation and simplify Please!!!!! If I went to an Amusement park and ad

Algebra ->  Equations -> SOLUTION: Good evening friends Merry Christmas!!!!! PleaSE hELP, I need to figure out and understand how to do an Equation and simplify Please!!!!! If I went to an Amusement park and ad      Log On


   



Question 1011101: Good evening friends Merry Christmas!!!!!
PleaSE hELP, I need to figure out and understand how to do an Equation and simplify Please!!!!!
If I went to an Amusement park and adult admission tickets sold for $51.99 and Junior admission tickets sold for $26.99. Tickets sold 360, THE PARK collected $15,591.40. How many admission of each type was sold
Thanking you in advance!
Betty

Found 3 solutions by josgarithmetic, stanbon, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x is how many junior tickets
y is how many adult tickets

Account for number of tickets and account for the amount of money taken in through tickets sales. Two linear equations for a system

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If I went to an Amusement park and adult admission tickets sold for $51.99 and Junior admission tickets sold for $26.99. Tickets sold 360, THE PARK collected $15,591.40. How many admission of each type was sold
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Quantity Eq:: a + j = 360 tickets
Value Eq:: 5199a + 2699j = 1559140 cents
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5199a + 5199j = 5199*360
5199a + 2699j = 1559140
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Subtract and solve for "j"::
2500j = 312500
# of junior tickets = 125
Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Good evening friends Merry Christmas!!!!!
PleaSE hELP, I need to figure out and understand how to do an Equation and simplify Please!!!!!
If I went to an Amusement park and adult admission tickets sold for $51.99 and Junior admission tickets sold for $26.99. Tickets sold 360, THE PARK collected $15,591.40. How many admission of each type was sold
Thanking you in advance!
Betty
Let number of adult tickets sold, be A
Since 360 tickets were sold, number of junior tickets sold = 360 - A
We then get the following RECEIPTS equation:
51.99A + 26.99(360 - A) = 15,591.4
51.99A + 9,716.4 - 26.99A = 15,591.4
51.99A - 26.99A = 15,591.4 - 9,716.4
25A = 5,875
A, or number of adult tickets sold = 5875%2F25, or highlight_green%28235%29
Number of junior tickets sold: 360 - 235, or highlight_green%28125%29