SOLUTION: the sum of money amounting to $5.90 consist of dimes and quarters . if there are 32 coins in all , how many are quarters ?

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Question 766910: the sum of money amounting to $5.90 consist of dimes and quarters . if there are 32 coins in all , how many are quarters ?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the sum of money amounting to $5.90 consist of dimes and quarters.
.10d + .25q = 5.90
:
if there are 32 coins in all
d + q = 32
d = (32-q)
:
Replace d with (32-q) in the 1st equation
.10(32-q) + .25q = 5.90
3.2 - .10q + .25q = 5.90
.15q = 5.9 - 3.2
.15q = 2.7
q = 2.7/.15
q = 18 quarters
:
:
Check this (d=14)
.10(14) + .25(18) =
1.40 + 4.50 = 5.90