SOLUTION: Jeremy has a collection of dimes and quarters. Overall, he has 51 coins and their total value is $10.35. What is the total value of ONLY the quarters?

Question 1009783: Jeremy has a collection of dimes and quarters. Overall, he has 51 coins and their total value is $10.35. What is the total value of ONLY the quarters?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
d+q= 51 subtract d fom both sides
q= 51-d we'll use this value for q in the next equation
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0.10d+0.25q= 10.35 substitute for q
0.10d+0.25(51-d)= 10.35
0.10d+12.75-0.25d= 10.35 Add q on left and subtract 12.75 on both sides
-0.15d= -2.4
d= -2.4/-0.15 (remember that -/-= +)
d= 16 Jeremy has 16 dimes
51-16= 35 Jeremy has 35 quarters
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16(0.10)= 1.60
35(0.25)= 8.75
_ _ _ _ _ -------
Total: ... 10.35 We have the correct answer
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