SOLUTION: A purse contains $1.35 in nickels and dimes. In all there are 19 coins. How many of each coin are there?

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
Answer by stanbon(75887) (Show Source): 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.
-------------
RELATED QUESTIONS
A purse contains 15 coins worth $1.35. If there are only dimes and nickels in the purse,... (answered by tommyt3rd)
A coin purse contains 19 coins in nickels, dimes, and quarters. There are three times as... (answered by rwm)
In a purse is $3.05 in nickels and dimes, 19 more nickels than dimes. How many coins are... (answered by checkley77)
A coin purse contains nickels and quarters. There are 7 more nickels than quarters in the (answered by hamsanash1981@gmail.com)
In a purse is $3.05 in nickels and dimes, 19 more nickles than dimes. How many coins are... (answered by mananth)
A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many coins... (answered by Alan3354,fion6002)
A box contains 30 coins, in nickels and dimes, worth $2.40. How many of each coin are... (answered by solver91311)
A box contains 30 coins, in nickels and dimes, worth $2.40. How many of each coin are... (answered by Alan3354)
A child�s piggy bank contains 35 coins and a total of $6.25. The bank contains... (answered by ikleyn)