SOLUTION: Carla has $2.40 in nickels and dimes.Deron has $5.50 in dimes and quarters. Deron has as many dimes as Carla has nickles and as many quarters as Carla has dimes/ How many of each

Algebra ->  Human-and-algebraic-language -> SOLUTION: Carla has $2.40 in nickels and dimes.Deron has $5.50 in dimes and quarters. Deron has as many dimes as Carla has nickles and as many quarters as Carla has dimes/ How many of each       Log On


   

Question 363010: Carla has $2.40 in nickels and dimes.Deron has $5.50 in dimes and quarters.
Deron has as many dimes as Carla has nickles and as many quarters as Carla has dimes/ How many of each coin does Carla have?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Carla has $2.40 in nickels and dimes.Deron has $5.50 in dimes and quarters.
Deron has as many dimes as Carla has nickles and as many quarters as Carla has dimes/ How many of each coin does Carla have?
..
let carla have x nickels & y dimes
5x+10y=240.................1
Deron has x dimes & y quarters
10x+25y=550.................2
...
multiply equation 1 by -2
-10x-20y=-480
add it to equation 2
10x-10x+25y-20y=550-480
5y=70
y=14 dimes carla has
plug value of y in equation 1
5x+140=240
5x=100
x=20 nickels carla has
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m.ananth@hotmail.ca