SOLUTION: A coin collection contains 29 coins. It consists of pennies, nickels, and quarters. The number of quarters is 4 fewer than the number of nickels, and the face value of the collecti
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Question 871606: A coin collection contains 29 coins. It consists of pennies, nickels, and quarters. The number of quarters is 4 fewer than the number of nickels, and the face value of the collection is $2.69. How many of each denomination are there in the collection? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = number of pennies
Let = number of nickels
Let = number of quarters
----------------------------
(1)
(2)
(3) ( in cents )
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Substitute (2) into (1)
(1)
(1)
(1)
--------------------
Substitute (1) and (2) into (3)
(3)
(3)
(3)
(3)
(3)
(3)
and
(2)
(2)
(2)
and
(1)
(1)
(1)
(1)
There are 9 pennies, 12 nickels, and 8 quarters
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check:
(3)
(3)
(3)
(3)
OK
(1)
(1)
(1)
OK
(2)
(2)
(2)
OK
