Question 1154946
Everything costs either $1.50 or $3.50 at a garage sale, there were 150 items and 41 items are left and $227.50 was made from the sale of items - write a system of equations that you could solve to figure out how many of each type of item sold.

 x + y = 109
(3.5)x +  (1.5)y =227.50

												
	x	+		y	=	109.00						
												
												
3.50	x	+	1.50	y	=	227.50	.............2					
Eliminate 	y											
multiply (1)by		-1.50										
Multiply (2) by		1.00										
-1.50	x		-1.50	y	=	-163.50						
3.50	x		1.50	y	=	227.50						
Add the two equations												
2.00	x				=	64.00						
/	2.00											
x	=	32.00										
plug value of			x	in (1)								
1.00	x	+	1.00	y	=	109						
32.00		+	1.00	y	=	109						
			1.00	y	=	77						
				y	=	77						
Ans	x	=	32									
	y	=	77