SOLUTION: mary has 3.50 in change. she has twice as many nickles as quarters. she has one fewer dime than she has quarter. how many of each coin does she have

Question 808827: mary has 3.50 in change. she has twice as many nickles as quarters. she has one fewer dime than she has quarter. how many of each coin does she have
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
mary has 3.50 in change. she has twice as many nickles as quarters. she has one fewer dime than she has quarter. how many of each coin does she have
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Quantity Equation: n = 2q
Quantity Equation: d = q-1
Value Equation:::5n + 10d + 25q = 350 cents
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Substitute for "n" and for "d"; solve for "q"::
5(2q) + 10(q-1) + 25q = 350
10q + 10q - 10 + 25q = 350
45q = 360
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q = 8 (# of quarters)
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n = 2q = 16 (# of nickels)
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d = q-1 = 7 (# of quarters)
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Cheers,
Stan H.
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