SOLUTION: I've tried many times to find the answer... and I've also never had a real big thing for math that's why I'm in summer school right now... If I could get any help at all it would

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Question 3402: I've tried many times to find the answer... and I've also never had a real big thing for math that's why I'm in summer school right now... If I could get any help at all it would be great, and maybe a brief x-pla. on how it's to be done
"A theater sells children's tickets for $4 and adult tickets for $7. One night 575 tickets worth $3575 were sold.
How many adults and children bought tickets"
Thanks Many
Matt McIvor

Found 2 solutions by drglass, pannalal:
Answer by drglass(89) About Me  (Show Source):
You can put this solution on YOUR website!
Basically the same way you would solve otherwise.

3x-2.5y=7.125

2.5x-3y=7.3125

You should eleminate x or y and there is no particular advantage in picking one or the other in this case. So, let's pick x and use elimination:

Multiply the first equation by -2.5%2F3 and we get:

%28-2.5%2F3%29%2A3x-%28-2.5%2F3%29%2A2.5y=%28-2.5%2F3%29%2A7.125+or%3Cbr%3E%0D%0A%7B%7B%7B-2.5x+%2B+%286.25%2F3%29y+=+-5.9375

Now add this to the second equation and we get

-%282.75%2F3%29y+=+1.375

Divide either side by -2.75/3 and we get y = -1.5. Substitute this value of y in to the first equation and we get x = 1.125.


It is important to verify these numbers using the original equations:

3x-2.5y=7.125 and

2.5x-3y=7.3125

become
3(1.125)-2.5(-1.5) = 3.375 + 3.75 = 7.125 and

2.5(1.125)-3(-1.5) = 2.8125 + 4.5 = 7.3125

Answer by pannalal(9) About Me  (Show Source):
You can put this solution on YOUR website!
First convert decimal into fractions:
So, first equation becomes:
3x+-+5y%2F2+=+57%2F8
On multiplying both sides by 8:
24x+-+20y+=+57

and, second equation becomes:
5x%2F2+-+3y+=+117%2F16
on multiplying both sides by 16:
40x+-+48y+=+117
Now, equations are:
24x+-+20y+=+57 ... (1)
40x+-+48y+=+117 ... (2)
Solve in usual steps to get x = 9/8 and y = -3/2