SOLUTION: John has 27 coins totaling $5.70. If he only has dimes and quarters, how many of each coin does he have?

Question 884303: John has 27 coins totaling $5.70. If he only has dimes and quarters, how many of each coin does he have?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(a) He can't have an odd number of quarters,
since that would make the total look like @@.@5
------------------------------------------
(b) He can't have 23 or more quarters, since
that is $5.75 or greater
-----------------------
Let = number of dimes he has
Let = number of quarters he has
-------------
(1)
(2) ( in cents )
--------------------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)
--------------------------

and, since
(1)
(1)
(1)
He has 7 dimes and 20 quarters
check:
(2)
(2)
(2)
OK

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