Question 61587: Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have? Found 2 solutions by stanbon, joyofmath:Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have?
------------
Let number of dimes be "x"; value of these is 10x cents
----------
The number of quarters is "20-x" ; value of these is 25(20-x)=500-25x cents
--------
EQUATION:
value + value = 395 cents
10x+500-25x=395
-15x=-105
x=7 (number of dimes)
20-x=13 (number of quarters)
Cheers,
stan H.
You can put this solution on YOUR website! Merlin has 20 coins in quarters and dimes. The total value of the coins is $3.95. How many coins of each kind does he have?
Merlin has some quarters, Q, and some dimes, D. because he has 20 coins.
The total values is 395 so .
Since .
So, or
Or,
Or, .
So, Q=13 and D must = 7 since there are 20 coins in total.
Verify: .
(
