SOLUTION: Kevin and Randy Muise have a jar containing 51 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $7.35 How many of each type of c

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Kevin and Randy Muise have a jar containing 51 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $7.35 How many of each type of c      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1059140: Kevin and Randy Muise have a jar containing
51 coins, all of which are either quarters or nickels. The total value of the coins in the jar is $7.35
How many of each type of coin do they have?

Found 2 solutions by josgarithmetic, josmiceli:
Answer by josgarithmetic(39620) About Me  (Show Source):
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +n+ = number of nickels
Let +q+ = number of quarters
--------------------------------
(1) +n+%2B+q+=+51+
(2) +5n+%2B+25q+=+735+ ( in cents )
--------------------------------
Multiply both sides of (1) by +5+
and subtract (1) from (2)
(2) +5n+%2B+25q+=+735+
(1) +-5n+-+5q+=+-255+
-------------------------
+20q+=+480+
+q+=+24+
and
(1) +n+%2B+q+=+51+
(1) +n+%2B+24+=+51+
(1) +n+=+27+
---------------------
There are 27 nickels and 24 quarters
---------------------------------------
check:
(2) +5n+%2B+25q+=+735+
(2) +5%2A27+%2B+25%2A24+=+735+
(2) +135+%2B+600+=+735+
(2) +735+=+735+
OK