SOLUTION: Sonja has some nickles and dimes. If she has 30 coins worth a total value of $2.00, how many of each type of coin does she have?

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Question 114221This question is from textbook
: Sonja has some nickles and dimes. If she has 30 coins worth a total value of $2.00, how many of each type of coin does she have? This question is from textbook

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Sonja has some nickels and dimes. If she has 30 coins worth a total value of $2.00, how many of each type of coin does she have?
:
Let n = no. of nickels; Let d = no. of dimes
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Write the number of coins equation:
n + d = 30
Which can be also written:
n = (30 - d)
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Write the value equation:
.05n + .10d = 2.00
:
Substitute (30-d) for n in the above equation, find d:
.05(30-d) + .10d = 2.00
1.5 -.05d + .10d = 2
.05d - .10d = 2 - 1.5
.05d = .50
d = .50/.05
d = 10 dimes:
:
You can find the number of nickels using the no. of coins equation:
:
Check your solutions in the value equation.