Question 925794: A purse contains $1.35 in nickels and dimes. In all there are 19 coins. How many of each coin are there? Found 2 solutions by ewatrrr, stanbon:Answer by ewatrrr(24785) (Show Source):
You can put this solution on YOUR website!
x the number of dimes
10x + 5(19-x) = 135cents
5x = 135 - 95
5x = 40
x = 8 Dimes and 11 Nickels
And...checking
80 + 55 = 135 0r $1.35
You can put this solution on YOUR website! A purse contains $1.35 in nickels and dimes. In all there are 19 coins. How many of each coin are there?
-----------------
Coin Equation: n + d = 19 coins
Value Equation:5n + 10d = 135 cents
---------------------------
Modify for elimination::
5n + 5d = 95
5n + 10d = 135
------
Subtract and solve for "d"::
5d = 40
d = 8 (# of dimes)
----
Solve for "n"::
n = 19-8 = 11 (# of nickels)
-----------------
cheers,
Stan H.
-------------
(