Question 1115267

 $22 for adults,  numbers be x
 $17 for senior citizens, numbers be y
 and $8 for children under 12 x+44
Total attendance
x+y+(x+44) =856
2x+y = 812....................(1)

the paid revenue was $12,980 
22x+17y+(x+44)*8 = 12980
22x+17y+8x+352=12980
30x+17y=12628.................(2)

										
2	x	+	1	y	=	812	.............1			
										
										
30	x	+	17	y	=	12628	.............2			
Eliminate 	y									
multiply (1)by		17								
Multiply (2) by		-1								
34	x		17	y	=	13804				
-30	x		-17	y	=	-12628				
Add the two equations										
4	x				=	1176				
/	4									
x	=	294								
plug value of			x	in (1)						
2	x	+	1	y	=	812				
588		+	1	y	=	812				
			1	y	=	224				
				y	=	224				
Ans	x	=	294							
	y	=	224							
	294	adults								
	224	senior citizens	
        (294+44) children