SOLUTION: . A total of 700 tickets were sold for a musical. Senior citizen tickets sold for $15, children tickets sold for $20, and adult tickets sold for $25; the total earnings from ticket

Question 156589: . A total of 700 tickets were sold for a musical. Senior citizen tickets sold for $15, children tickets sold for $20, and adult tickets sold for $25; the total earnings from ticket sales was $15,750. Five times more children tickets were sold than senior citizen tickets. How many tickets of each type were sold? Set up a system of three equations and three unknowns, use an augmented matrix to solve
I have most of the matrix figured out Here is what I got
[ 1 1 1 700 ]
[ 4 5 3 3,140 ] divided by 5
[ 0 5
I am struggling with the bottom half of the matrix. Specifically what numbers do I put in the last two columns. I am also struggling solving the matrix. Thanks for any help.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
"A total of 700 tickets were sold for a musical" __ s+c+a=700

"Senior citizen tickets sold for $15, children tickets sold for $20, and adult tickets sold for $25; the total earnings from ticket sales was $15,750" __ 15s+20c+25a=15750 __ 3s+4c+5a=3150

"Five times more children tickets were sold than senior citizen tickets" __ c=5s __ -5s+c+0a=0

[1 1 1 | 700]
[3 4 5 | 3150]
[-5 1 0 | 0]
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