SOLUTION: You have 73 coins consisting of nickels and quarters. the coins total $11.45. How many coins are nickels ? how many coins are quarters?

Question 1188830: You have 73 coins consisting of nickels and quarters. the coins total $11.45. How many coins are nickels ? how many coins are quarters?
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
You have 73 coins consisting of nickels and quarters. the coins total $11.45. How many coins are nickels ? how many coins are quarters?
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Using algebra:
n + q = 73
5n + 25q = 1145 ---> n + 5q = 229
----------------
n + 5q = 229
n + q = 73
---------------------- Subtract
4q = 156
---> 39 quarters
34 nickels
==========================
Another way:
73 nickels = 365 cents
Each nickel replaced by a quarter adds 20 cents
1145 - 365 = 780
780/20 = 39 replacements = 39 quarters
etc
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