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

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 )
-------------------------------------
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
-------------
check:
(3)
(3)
(3)
(3)
OK
(1)
(1)
(1)
OK
(2)
(2)
(2)
OK
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