Question 1155786

Ahmed and Manu work in a sweet shop .During Eid, Ahmed and Manu charge RS 200 and RS 250 a day, respectively, to work in the kitchen. Their combined earnings during the Eid period was Rs. 3900. If, in total, Manu earned Rs. 1100 more than Ahmed, how many days did each one work for what payment did each one receive? 

Let Ahmed work for a days
and manu work for m  days

combined earnings during the Eid period was Rs. 3900.
200a + 250m =3900


Manu earned Rs. 1100 more than Ahmed, 
250m = 200a+1100

Solve the equations

200.00	a	+	250.00	m	=	3900.00					
											
											
-200.00	a	+	250.00	m	=	1100.00	.............2				
Eliminate 	m										
multiply (1)by		-1									
Multiply (2) by		1									
-200.00	a		-250.00	m	=	-3900.00					
-200.00	a		250.00	m	=	1100.00					
Add the two equations											
-400.00	a				=	-2800.00					
/	-400.00										
a	=	7.00									
plug value of			a	in (1)							
200.00	a	+	250.00	m	=	3900.00					
1400.00		+	250.00	m	=	3900.00					
			250.00	m	=	2500.00					
				m	=	10.00					


Ahmed 7 days,Manu 10 days