SOLUTION: eighty-six coins made up of dimes and quarters smount to $14.60. How many of each of these coins are there?

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Question 536876: eighty-six coins made up of dimes and quarters smount to $14.60. How many of each of these coins are there?
Answer by fcabanski(1391)   (Show Source): You can put this solution on YOUR website!
d is dimes. q is quarters.


d+q=86.


.1d +.25q = 14.60


Use the first equation to find d in terms of q.


d+q = 86


Subtract q from both sides.


d=86-q


Substitute that d value into the second equation.


.1(86-q) + .25q = 14.6


Multiply .1 by both terms in the ().


8.6 - .1q +.25q = 14.6


Combine the q's, subtract 8.6 from both sides.


.15q = 6


Divide both sides by .15


q=40


d = 86 - q = 86 - 40 = 46

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