Question 551536
Quarters			x	numbers					
fifty cent coins			y	numbers					
									
1	x	+	1	y	=	30	.............1		
25	x	+	50	y	=	1075	.............2		
Eliminate y									
multiply (1)by 		-50							
Multiply (2) by		1							
-50	x		-50	y	=	-1500			
25	x		50	y	=	1075			
Add the two equations									
-25	x				=	-425			
/	-25								
x	=	17				
plug value of 			x	in (1)					
1	x	+	1	y	=	30			
17		+	1	y	=	30			
			1	y	=	30		-17	
			1	y	=	13			
				y	=	13
Quarters			17    	numbers					
fifty cent coins			13    	numbers		

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30 sec comm			x	numbers					
60 sec comm			y	numbers					
									
1	x	+	1	y	=	12	.............1		
30	x	+	60	y	=	480	.............2		
Eliminate y									
multiply (1)by 		-60							
Multiply (2) by		1							
-60	x		-60	y	=	-720			
30	x		60	y	=	480			
Add the two equations									
-30	x				=	-240			
/	-30								
x	=	8  				
plug value of 			x	in (1)					
1	x	+	1	y	=	12			
8		+	1	y	=	12			
			1	y	=	12		-8	
			1	y	=	4			
				y	=	4   
30 sec comm			8    	numbers					
60 sec comm			4    	numbers					

			
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