SOLUTION: Luke has 21 coins worth $3.90. If he has only dimes and quarters, how many of each does he have?

SOLUTION: Luke has 21 coins worth $3.90. If he has only dimes and quarters, how many of each does he have?

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Question 766473: Luke has 21 coins worth $3.90. If he has only dimes and quarters, how many of each does he have?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes
Let = number of quarters
--------------
(1)
(2) ( in cents )
----------------------
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
He has 9 dimes and 12 quarters
check:
(2)
(2)
(2)
OK
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