SOLUTION: Philip has 15 coins all dimes and quarters, worth $2.25. How many dimes and quarters does he have?

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Question 870580: Philip has 15 coins all dimes and quarters, worth $2.25. How many dimes and quarters does he have?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
dimes be x numbers
quarters be y numbers
x+y =15
multiply by -10
-10x-10y=-150.................(1)
value
10x+25y=285 (cents)...............(2)
add the two equations
15y=135
/15
y=9
quarters ---------------9
so dimes ---------------6