SOLUTION: How many dimes & quarters are in $19.75 if you have 100 coins?

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Let = number of nickels
Let = number of dimes
given:
(1)
(2) ( in cents )
------------------
Multiply both sides of (1) by ,
and subtract (1) from (2)
(2)
(1)


and, since
(1)
(1)
(1)
(1)
There are 35 dimes and 65 quarters
check:
(2)
(2)
(2)
(2)
OK