SOLUTION: the school band is raising money. they plan to sell 500 tickets. adult tickets will be $4.50 and student tickets will be 2.50. they need to collect $1650 in ticket sales. How man

Question 487943: the school band is raising money. they plan to sell 500 tickets. adult tickets will be $4.50 and student tickets will be 2.50. they need to collect $1650 in ticket sales. How many adult and children tickets do they need to sell.
I got the correct answer by playing with numbers. (200 adult tickets and 300 student tickets) how do you write an equation to get there?
Found 2 solutions by josmiceli, ej_03:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of adult tickets they need to sell
Let = number of student tickets they need to sell
given:
(1)
(2)
----------------------
From (2),
(2)
Multiply both sides of (1) by ,
then subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
They need to sell 200 adult tickets and
300 student tickets
Answer by ej_03(8) (Show Source): You can put this solution on YOUR website!
you can put this solution on YOUR website!
let x=adults' tickets
y=children's tickets

x+y=500
y=500-x
perform the indicated operations in the equation:
4.50x+2.50(500-x) =1650
4.50x+1250-2.50x =1650
4.50x-2.50x =1650-1250
2x/2= 400/2
x=200 adults' tickets
y=500-200
y=300 children's tickets
since, 200x4.50 =900
300x2.50 =750
900+750 =1650 ticket sales
thank you...=)

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