SOLUTION: johnston and betsy have a jar containing 80 coins of which are either quarters or nickels. the total value of the coins is $14.60 how many of each coin do they have? i need the equ

Question 508033: johnston and betsy have a jar containing 80 coins of which are either quarters or nickels. the total value of the coins is $14.60 how many of each coin do they have? i need the equations please!
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)
(1)
They have 27 nickels and 53 quarters
check answer:
(2)
(2)
(2)
OK
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