SOLUTION: A collection of 42 coins consisting of dimes, quarters, and half-dollars has a value of $11.10. There are two times as many quarters as dimes. Find the number of each kind of coin.
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Question 401466: A collection of 42 coins consisting of dimes, quarters, and half-dollars has a value of $11.10. There are two times as many quarters as dimes. Find the number of each kind of coin. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! = number of dimes = number of quarters = number of half-dollars
given:
(1) (in cents)
(2)
(3)
There are 3 equation and 3 unknowns, so it's solvable
--------------------
Substitute (3) into (1):
(1)
(1)
(1)
and
(2)
(2)
Multiply both sides by and subtract from (1)
(1)
(2)
and, from (2):
from (3):
There are 11 dimes, 22 quarters, and 9 half dollars
check answer:
(1)
OK
