Question 1157920: A concert manager counted 475 ticket receipts the day after a concert. The price for a student ticket was $10.50, and the price for an adult ticket was $12.00. The register confirms that $5,475.00 was taken in. How many student tickets and adult tickets were sold
Answer by mananth(16946)   (Show Source):
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A concert manager counted 475 ticket receipts.
Let number of students be x
and adults be y
x+y=475
The price for a student ticket was $10.50,
and the price for an adult ticket was $12.00.
The register confirms that $5,475.00 was taken in.
10.50x +12y = 5475
Solve the equations
1.00 x + 1.00 y = 475.00
10.50 x + 12.00 y = 5475.00 .............2
Eliminate y
multiply (1)by -12.00
Multiply (2) by 1.00
-12.00 x -12.00 y = -5700.00
10.50 x 12.00 y = 5475.00
Add the two equations
-1.50 x = -225.00
/ -1.50
x = 150.00
plug value of x in (1)
1.00 x + 1.00 y = 475.00
150.00 + 1.00 y = 475.00
1.00 y = 325.00
y = 325.00
Ans x = 150.00
y = 325.00
150.00 students
325.00 Adults
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