SOLUTION: Mike has 4.50, all quarters and dimes there are 3 more dimes than quarters find the number of each type of coin

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Mike has 4.50, all quarters and dimes there are 3 more dimes than quarters find the number of each type of coin       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 928679: Mike has 4.50, all quarters and dimes there are 3 more dimes than quarters find the number of each type of coin
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Mike has 4.50, all quarters and dimes there are 3 more dimes than quarters find the number of each type of coin
------------------
Quantity Eq:: d = q + 3
Value Eq:::: 10d + 25q = 450 cents
---------------------
Substitute for "d" and solve for "q"::
10(q+3) 25q = 450
----
10q + 30 + 25q = 450
35q = 420
q = 12 (# of quarters)
------
d = 12+3 = 15 (# of dimes)
---------------
Cheers,
Stan H.
---------------