SOLUTION: a computer shop displays a total of 50 types A and type B mice. the cost of type A mouse is Rs. 6 and that of a type B mouse is Rs.13. if the total cost of both types of mice is Rs

Algebra ->  Equations -> SOLUTION: a computer shop displays a total of 50 types A and type B mice. the cost of type A mouse is Rs. 6 and that of a type B mouse is Rs.13. if the total cost of both types of mice is Rs      Log On


   

Question 861739: a computer shop displays a total of 50 types A and type B mice. the cost of type A mouse is Rs. 6 and that of a type B mouse is Rs.13. if the total cost of both types of mice is Rs. 433,find the number of type A mice displayed.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
x= number of Rs. 6 mouse
y= number of Rs. 13 mouse

1 x + 1 y = 50 .............1
Total value
6 x + 13 y = 433 .............2
Eliminate y
multiply (1)by -13
Multiply (2) by 1
-13 x -13 y = -650
6 x + 13 y = 433
Add the two equations
-7 x = -217
/ -7
x = 31
plug value of x in (1)
1 x + 1 y = 50
31 + y = 50
y = 50 -31
y = 19
y = 19
x= 31.00 number of Rs. 6 mouse
y= 19.00 number of Rs. 13 mouse
m.ananth@hotmail.ca