SOLUTION: There are 120 people who attend a concert. Each adult ticket costs $3.50. Each child ticket costs $2.00. If the total revenue for the ticket sales was $324.00, state how many adu

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons -> SOLUTION: There are 120 people who attend a concert. Each adult ticket costs $3.50. Each child ticket costs $2.00. If the total revenue for the ticket sales was $324.00, state how many adu      Log On


   

Question 1202396: There are 120 people who attend a concert. Each adult ticket costs $3.50.
Each child ticket costs $2.00. If the total revenue for the ticket sales was
$324.00, state how many adult tickets and how many children tickets were
sold.
Found 2 solutions by mananth, josgarithmetic:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Let x Number of adult tickets sold
Let y Number of child tickets sold

Number of tickets equation
x + y = 120


3.50 x + 2.00 y = 324.00
Eliminate y
multiply (1)by 2
Multiply (2) by -1
2.00 x 2.00 y = 240.00
-3.50 x -2.00 y = -324.00
Add the two equations
-1.50 x = -84.00
/ -1.50
x = 56
plug value of x in (1)
1.00 x + 1.00 y = 120
56.00 + 1.00 y = 120
1.00 y = 64.00
y = 64
Ans x = 56
y = 64
56 Number of adult tickets sold
64 Number of child tickets sold


56*3.5+64*2= 324

Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Children, c
Adults, 120-c

2c%2B3.5%28120-c%29=324
2c%2B%283.5%29%28120%29-3.5c=324
%282-3.5%29c=324-%283.5%29%28120%29
%283.5-2%29c=%283.5%29%28120%29-324
highlight_green%28c=%28%283.5%29%28120%29-324%29%2F%283.5-2%29%29
.
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