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

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) (Show Source): You can put this solution on YOUR website!
q+n=84
25q+5n=1560
n=27 q=57
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of quarters
given:
(1)
(2) (in cents)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
He has 27 nickels and 57 quarters
check answer:
(2)
(2)

OK
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