SOLUTION: Jennifer has 15 coins worth a total of $1.45. All of the coins are nickels, dimes, or quarters. The number or quarters is 1/4 the number of nickels and dimes combined. Solve a line
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Question 998423: Jennifer has 15 coins worth a total of $1.45. All of the coins are nickels, dimes, or quarters. The number or quarters is 1/4 the number of nickels and dimes combined. Solve a linear system to find how many of each kind of coin she has. Please help me... Thanks
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= number of nickels
= number of dimes
= number of quarters
-------------------------
(1)
(2)
(3)
-------------------------
(3)
Substitute this into (1)
(1)
(1)
---------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
--------------------------
-------------
(1)
(1)
(1)
--------------------
There are 10 nickels, 2 dimes, and 3 quarters
------------------------------------
check answers:
(2)
(2)
(2)
(2)
-----------------
(3)
(3)
(3)
(3)
OK
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