SOLUTION: John has 98 coins in his bank made up of dimes and quarters. The total value of the coins is $18.50. How many of each coin does he have?

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Question 1151514: John has 98 coins in his bank made up of dimes and quarters. The total value of the coins is
$18.50. How many of each coin does he have?
Found 2 solutions by MathLover1, Alan3354:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

John has 98 coins in his bank made up of dimes and quarters.
d%2Bq=98
d=98-q..........eq.1
The total value of the coins is $18.50.
the value of the dime is $0.10+and quarter $0.25+
so, we have 0.10d%2B0.25q=18.50+......substitute d from eq.1
0.10%2898-q%29%2B0.25q=18.50+
9.8-0.10q%2B0.25q=18.50+
9.8%2B0.15q=18.50+
0.15q=18.50-9.8+
0.15q=8.7+
q=8.7+%2F0.15
q=58
go back to
d=98-q..........eq.1
d=98-58
d=40
John has 40 dimes and 58 quarters.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
John has 98 coins in his bank made up of dimes and quarters. The total value of the coins is
$18.50. How many of each coin does he have?
==================
d + q = 98
10d + 25q = 1850