SOLUTION: Abby has 37 coins, consisting only of dimes and quarters, worth $7.45. How many dimes and how many quarters does she have?

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Question 177879This question is from textbook
: Abby has 37 coins, consisting only of dimes and quarters, worth $7.45. How many dimes and how many quarters does she have? This question is from textbook

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Abby has 37 coins, consisting only of dimes and quarters, worth $7.45. How many dimes and how many quarters does she have?
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Quantity Equation: d + q = 37
Value Equation...:10d+25q= 745 cents
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Modify:
10d + 10q = 370
10d + 25q = 745
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Subtract 1st from 2nd to solve for "q":
15q = 375
q = 25 (# of quarters)
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Since d+q = 37, d + 25 = 37; d = 12 (# of dimes)
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Cheers,
Stan H.