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 ->  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

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

   


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(48568) 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?
-----------------------------------
Value Equation: 10d + 25q = 1155 cents
Quantity Eq.:::: d = 8q
--------------------------------
Substitute for "d" and solve for "Q":
10(8q) + 25q = 1155
105q = 1155
q = 11 (# of quarters)
----------------
Then d = 8q = 8*11 = 88 (# of dimes)
======================================
Cheers,
Stan H.