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

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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)   (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)   (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
-----------
Quantity Eq:: a + j = 360 tickets
Value Eq:: 5199a + 2699j = 1559140 cents
---------------------
5199a + 5199j = 5199*360
5199a + 2699j = 1559140
-------------------------------
Subtract and solve for "j"::
2500j = 312500
# of junior tickets = 125
Cheers,
Stan H.
----------
Answer by MathTherapy(10552)   (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 = , or 

Number of junior tickets sold: 360 - 235, or  

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