SOLUTION: Kelly has a collection of nickels, dimes, and quarters with a total value of $7.40. There are four more nickels than dimes and twice as many quarters as nickels. How many of each c
Algebra ->
Angles
-> SOLUTION: Kelly has a collection of nickels, dimes, and quarters with a total value of $7.40. There are four more nickels than dimes and twice as many quarters as nickels. How many of each c
Log On
Question 486615: Kelly has a collection of nickels, dimes, and quarters with a total value of $7.40. There are four more nickels than dimes and twice as many quarters as nickels. How many of each coin is in her collection? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = number of nickels she has
Let = number of dimes she has
Let = number of quarters she has
given:
(1) ( in cents )
(2)
(3)
--------------
This is 3 equations and 3 unknowns, so it's solvable
From (2)
(2)
By substitution:
(1)
(1)
(1)
(1)
(1)
and, from (2)
and, from (3),
(3)
(3)
(3)
She has 12 nickels, 8 dimes, and 24 quarters
check:
(1)
(1)
(1)
(1)
OK
