SOLUTION: A jar of change has $57.25 in it. There are 2 dimes more than 3 times the amount of nickels and 3 quarters less than double the amount of nickels. How many nickels, dimes, and quar

Question 591482: A jar of change has $57.25 in it. There are 2 dimes more than 3 times the amount of nickels and 3 quarters less than double the amount of nickels. How many nickels, dimes, and quarters are in the jar? (There are no pennies!). How would I solve this problem?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of nickels
Let = number of dimes
Let = number of quarters
given:
(1) ( in change )
(2)
(3)
Substitute (2) and (3) into (1)
(1)
(1)
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
(2)
and
(3)
(3)
(3)
(3)
There are 68 nickels, 206 dimes and 133 quarters
check:
(1)
(1)
(1)
OK
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