Question 1157918


you dump out your piggy bank and find that you have only nickels and dimes.

nickel 5 cents
dime 10 cents

 there are a total of 50 coins
x+y =50
 and the coins add up to $3.90
5x+10y = 390     (3.90==390 cents) 

solve the equations

1.00	x	+	1.00	y	=	50.00			
									
									
5.00	x	+	10.00	y	=	390.00	.............2		
Eliminate 	y								
multiply (1)by		-10.00							
Multiply (2) by		1.00							
-10.00	x		-10.00	y	=	-500.00			
5.00	x		10.00	y	=	390.00			
Add the two equations									
-5.00	x				=	-110.00			
/	-5.00								
x	=	22.00							
plug value of			x	in (1)					
1.00	x	+	1.00	y	=	50.00			
22.00		+	1.00	y	=	50.00			
			1.00	y	=	28.00			
				y	=	28.00			
Ans	x	=	22  numbers						
	y	=	28  numbers