SOLUTION: juan has a jar containing eighty-four coins, all of which are either quarters or nickels. The total value of the coins is $15.60. How many of each type of coin does he have? Define

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: juan has a jar containing eighty-four coins, all of which are either quarters or nickels. The total value of the coins is $15.60. How many of each type of coin does he have? Define      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 445512: juan has a jar containing eighty-four coins, all of which are either quarters or nickels. The total value of the coins is $15.60. How many of each type of coin does he have? Define your variables, equations and box your result sentence.
Found 2 solutions by rwm, josmiceli:
Answer by rwm(914) About Me  (Show Source):
You can put this solution on YOUR website!
q+n=84
25q+5n=1560
n=27 q=57

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
given:
(1) +n+%2B+q+=+84+
(2) +5n+%2B+25q+=+1560+ (in cents)
Multiply both sides of (1) by 5
and subtract (1) from (2)
(2) +5n+%2B+25q+=+1560+
(1) +-5n+-+5q+=+-420+
+20q+=+1140+
+q+=+57+
and, since
(1) +n+%2B+57+=+84+
(1) +n+=+27+
He has 27 nickels and 57 quarters
check answer:
(2) +5n+%2B+25q+=+1560+
(2) +5%2A27+%2B+25%2A57+=+1560+
+135+%2B+1425+=+1560+
+1560+=+1560+
OK