SOLUTION: Sarah has a coin collection of nickels, dimes, and quarters worth $15.75. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each does she ha

Question 341924: Sarah has a coin collection of nickels, dimes, and quarters worth $15.75. She has 10 more dimes than nickels and twice as many quarters as dimes. How many coins of each 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)
By substitution:
From(1)

(3)
By substitution again:
(3)

From (1):

From (2):

She has 15 nickels, 25 dimes, and 50 quarters
check:
(3)

OK
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