SOLUTION: I have a box of nickels and dimes. When I counted the money, I was surprised to see that I have exactly $10. Then it occurred to me that if my nickels were dimes and my dimes were

Question 916434: I have a box of nickels and dimes. When I counted the money, I was surprised to see that I have exactly $10. Then it occurred to me that if my nickels were dimes and my dimes were quarters, I would have $21.25. How many dimes and nickels are in my box?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the number of nickels in the box
Let = the number of dimes in the box
----------------
(1) ( in cents )
----------------
Also given:
(2)
--------------------------
(1)
(2)
---------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
----------------------

and
(1)
(1)
(1)
(1)
----------------
There are 150 nickels and 25 dimes in the box
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
OK

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