Question 1157920


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