Question 1160426

 Ethiopian coffee blend that normally sells for $8.10 per pound . let it be x pounds

Breakfast coffee blend that normally sells for $14.30 per pound let it be y pounds

 to create 80 pounds of a coffee(x+y)  that can sell for $12.67 per pound.

Quantity 

x+y=80-----------------------(1)

8.10x+14.30y = 12.67(x+y)

8.10x + 14.30y = 12.67x+12.67y
rearrange.
4.57x-1.63y=0--------------------(2)

1.00	x	+	1.00	y	=	80.00			
									
									
4.57	x	+	-1.630	y	=	0.00	.............2		
Eliminate 	y								
multiply (1)by		1.63							
Multiply (2) by		1.00							
1.63	x		1.63	y	=	130.40			
4.57	x		-1.63	y	=	0.00			
Add the two equations									
6.20	x				=	130.40			
/	6.20								
x	=	21.03							
plug value of			x	in (1)					
1.00	x	+	1.00	y	=	80.00			
21.03		+	1.00	y	=	80.00			
			1.00	y	=	58.97			
				y	=	58.97			
Ans	x	=	21.03						
	y	=	58.97						
	21.03		pounds	Ethopian coffee					
	58.97		pounds	Breakfast coffee