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
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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
