SOLUTION: How would I write the equation for: Bill has $11.55 in dimes and quarters. He has 8 times as many dimes as quarters. How many dimes does he have?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: How would I write the equation for: Bill has $11.55 in dimes and quarters. He has 8 times as many dimes as quarters. How many dimes does he have?      Log On


   



Question 237485: How would I write the equation for:
Bill has $11.55 in dimes and quarters. He has 8 times as many dimes as quarters. How many dimes does he have?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bill has $11.55 in dimes and quarters. He has 8 times as many dimes as quarters. How many dimes does he have?
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Value Equation: 10d + 25q = 1155 cents
Quantity Eq.:::: d = 8q
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Substitute for "d" and solve for "Q":
10(8q) + 25q = 1155
105q = 1155
q = 11 (# of quarters)
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Then d = 8q = 8*11 = 88 (# of dimes)
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Cheers,
Stan H.