SOLUTION: Hakeem has $2.35 in nickels and quarters. He has 23 coins altogether. How many coins of each kind does he have?

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Let = number of nickels
Let = number of quarters
given:
(1)
(2) ( in cents )
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Multiply both sides of (1) by 5 and subtract (1) from (2)
(2)
(1)


and, since
(1)
(1)
There are 17 nickels and 6 quarters
check:
(2)
(2)
(2)
OK