SOLUTION: Jack has 14 coins in dimes and quarters. The total value of the coins is $2.60. How many of each coin does Jack have.

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Question 1016034: Jack has 14 coins in dimes and quarters. The total value of the coins is $2.60. How many of each coin does Jack have.
Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
d+q= 14 therefore d= 14-q We'll use this value for d next
0.10d+0.25q= 2.60 Substitute for d:
0.10(14-q)+0.25q= 2.60
1.4-0.10q+0.25q = 2.60
0.15q = 1.20
q = 8
and:
d = 14-8 = 6
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Check:
0.25(8)+0.10(6) = 2.60
2+0.60 = 2.60 We have the correct answer