Question 1179663

Sam bought 3 shirts and 2 pairs of pants for $85.50. Randy bought 4 shirts and 3 pairs of pants for $123. How much does one shirt cost? How much does one pair of pants cost?

	x	number of shirts							
	y	number of pairs of pants							
									
									
3.00	x	+	2.00	y	=	85.50			
									
									
4.00	x	+	3.00	y	=	123.00	.............2		
Eliminate 	y								
multiply (1)by		-3.00							
Multiply (2) by		2.00							
-9.00	x		-6.00	y	=	-256.50			
8.00	x		6.00	y	=	246.00			
Add the two equations									
-1.00	x				=	-10.50			
/	-1.00								
x	=	10.50							
plug value of			x	in (1)					
3.00	x	+	2.00	y	=	85.50			
31.50		+	2.00	y	=	85.50			
			2.00	y	=	54.00			
				y	=	27.00			
Ans	x	=	11						
	y	=	27						
	11	number of shirts							
	27	number of pairs of pants