SOLUTION: If 119 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $431.75, how many of each went to the con

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Question 1136833: If 119 people attend a concert and tickets for adults cost $4 while tickets for children cost $3.25 and total receipts for the concert was $431.75, how many of each went to the concert?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If 119 adults =x and children= y attend a concert, we have
x%2By=119.....eq.1
and if tickets for adults cost $4 while tickets for children cost $3.25, and total receipts for the concert was $431.75, we have
4x%2B3.25y=431.75.....eq.2
solve this system:
x%2By=119.....eq.1-> both sides multiply by 4
4x%2B3.25y=431.75.....eq.2
------------------------------------------------
4x%2B4y=476.....eq.1
4x%2B3.25y=431.75.....eq.2
------------------------------------------------subtract
4x%2B4y-4x-3.25y=476-431.75
4y-3.25y=476-431.75
0.75y=44.25
y=44.25%2F0.75
y=59

go to eq.1, plug in y value

x%2By=119.....eq.1
x%2B59=119
x=119-59
x=60

so, there was 60 adults and 59 children