SOLUTION: Wanda has 40 coins, all nickels, dimes, and quarters. She has 1 less than twice the number of quarters in nickels. If she has $4.45, how many of each type of coin does she have?

Question 755530: Wanda has 40 coins, all nickels, dimes, and quarters. She has 1 less than twice the number of quarters in nickels. If she has $4.45, how many of each type of coin does she have?
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)
(2)
(3) ( in cents )
---------------------------
You have 3 equations and 3 unknowns
so it's solvable
Substitute (2) into (1)
(1)
(1)
(1)
Now substitute (1) and (2) into (3)
(3)
(3)
(3)
(3)
(3)
and, since
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
She has 15 nickels, 17 dimes, and 8 quarters
check:
(3)
(3)
(3)
(3)
OK
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