Question 380481
let nickels be x
dimes = y
..
5x+10y=600
/5
x+2y=120...................1
..
dimes 2y
nickels increased by 6 = x+6
..
5(x+6)+10*2y=900
5x+30+20y=900
5x+20y=900-30
5x+20y=870
/5
x+4y=174......................2
...
multiply (1) by -1
-x-2y=-120
add this to (2)
x-x+4y-2y=174-120
2y=54
/2
y=27 the number of dimes
plug value of y in (1)
x+2y=120
x+54=120
x=66 -------- nickels
..
CHECK
5*66+10*27=330+270=600
m.ananth@hotmail.ca