<PRE><B>Question 1202013</B>
a company sells two custom T-shirt and sweatshirt packages. one package contains 10 dozen t-shirts and 14 dozen sweatshirts for $1544. the other package contains 18 dozen T-shirts and 8 dozen sweatshirts for $1472. find the cost of a dozen t-shirts and a dozen sweatshirts

Assume

$	x	Price of one dozen T shirts							
$	y	Price of one dozen sweat shirts							
									
	Package 1								
10	x	+	14.00	y	=	1544.00...............1			
									
Package 2									
18	x	+	8.00	y	=	1472.00	.............2		
Eliminate 	y								
multiply (1)by		-8							
Multiply (2) by		14							
-80	x		-112	y	=	-12352.00			
252	x		112	y	=	20608.00			
Add the two equations									
172.00	x				=	8256.00	
		
/	172.00								
x	=	48.00							
plug value of			x	in (1)					
10.00	x	+	14.00	y	=	1544.00			
480.00		+	14.00	y	=	1544.00			
			14.00	y	=	1064.00			
				y	=	76.00			
Ans	x	=	48						
	y	=	76						
$	48.00	Price of one dozen T shirts							
$	76.00	Price of one dozen sweat shirts							
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