SOLUTION: Melissa has 45 coins in dimes and quarters. The total value of the coins is $7.65. How many coins of each kind does she have?

Question 575431: Melissa has 45 coins in dimes and quarters. The total value of the coins is $7.65. How many coins of each kind does she have?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of dimes
Let = number of quarters
given:
(1)
(2) ( in cents )
----------------
Divide both sides of (2) by
(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
She has 24 dimes and 21 quarters
check:
(2)
(2)
(2)
(2)
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