SOLUTION: johnston and betsy waring have a jar containing 80 coins all of which are either quarters or nickels.The total value of the coins is $14.60. How many of each type of coin do they h

Question 621577: johnston and betsy waring have a jar containing 80 coins all of which are either quarters or nickels.The total value of the coins is $14.60. How many of each type of coin do they have?
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:
(2)
(2)
(2)
OK
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