Question

In a jar, there are 50 coins with a total value of $5.00. The coins are quarters (worth
$0.25 each), dimes (worth $0.10 each), and nickels (worth $0.05 each). The number
of nickels in the jar is three times the number of quarters. The number of dimes is
one more than the number of nickels. How many quarters are in the jar?
(A) 7 (B) 6 (C) 5 (D) 9 (E) 8​

Answer 1

The first step is to make three equations in three variables:

• $q+d+n=50$

• $n=3q$

• $d=n+1$

From this we can conclude that: $d=3q+1$

Replacing the values in Equation 1: $q + (3q+1) + 3q = 50$

This gives us: $q=7$

Hence, there are 7 Quarters in the Jar.

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