SOLUTION: A Change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type does the purse contain? Also write a system of equatio

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: A Change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type does the purse contain? Also write a system of equatio      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1025027: A Change purse contains a total of 100 nickels and dimes. The total value of the coins is $7. How many coins of each type does the purse contain?
Also write a system of equations to model this situation.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels
Let +d+ = number of dimes
---------------------------
(1) +n+%2B+d+=+100+
(2) +5n+%2B+10d+=+700+ ( in cents )
---------------------------
(2) +n+%2B+2d+=+140+
Subtract (1) from (2)
(2) +n+%2B+2d+=+140+
(1) +-n+-+d+=+-100+
--------------------
+d+=+40+
and
(1) +n+%2B+d+=+100+
(1) +n+=+60+
------------------
There are 60 nickels and 40 dimes
-------------
check:
(2) +5n+%2B+10d+=+700+
(2) +5%2A60+%2B+10%2A40+=+700+
(2) +300+%2B+400+=+700+
(2) +700+=+700+
OK