SOLUTION: A sum of money amounting to $6.20 consists of dimes and quarters. if there are 35 coins in all, how many are quarters? I usually have no problem with these. I set it up like thi

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Question 579154: A sum of money amounting to $6.20 consists of dimes and quarters. if there are 35 coins in all, how many are quarters?
I usually have no problem with these. I set it up like this:
.25x+.1y=35
x+y-6.20
I kept getting huge answers...
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!
Your equations are somewhat flipped:
x%2By+=+35 ; total number of coins
.25x+%2B+.1y+=+6.20 ; total value, x=quarters


Solved by pluggable solver: Linear System solver (using determinant)
Solve:
+system%28+%0D%0A++++1%5Cx+%2B+1%5Cy+=+35%2C%0D%0A++++0.25%5Cx+%2B+0.1%5Cy+=+6.2+%29%0D%0A++

Any system of equations:


has solution

or



(x=18, y=17}


18 quarters, 17 dimes
CHECK:
18(.25) + 17(.10) = 4.50 + 1.70 = $6.20 √