SOLUTION: If 136 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $487.75, how many of each went to the con

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Question 1112644: If 136 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $487.75, how many of each went to the concert?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!

Adult tickets x Numbers
children tickets y Numbers
Equation for tickets total distance

x + y = 136 .............1

Equation for amount spent
4 x + 3.25 y = 487.75 .............2
Eliminate y
multiply (1)by -3.25
Multiply (2) by 1
-3.25 x -3.25 y = -442.00
4.00 3.25 y = 487.75
Add the two equations
0.75 x = 45.75
/ 0.75
x = 61.00
plug value of x in (1)
1.00 x + y = 136.00
61.00 + y = 136.00
y = 75.00
y= 75.00

Adult tickets 61 Numbers
children tickets 75 Numbers