SOLUTION: A group of nickels, dimes, and quarters is worth $9.50. There are two-thirds as many nickels as dimes and half as many dimes as quarters. How many quarters are there?

Question 266429: A group of nickels, dimes, and quarters is worth $9.50. There are two-thirds as many nickels as dimes and half as many dimes as quarters. How many quarters are there?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= number of nickels
= number of dimes
= number of quarters
given:
(1) (in cents)
(2)
(3)
-----------------
From (3)

By substitution:
(1)

From (3)

There are 30 quarters
check answer:
(2)

and
(1)
(1)

OK
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