A jar contains half dollars and quarters . There are 30 coins in all in the jar The total value of the coins is $8.75 how many quarters are in the jar

Answer 1

Let the number of quarters = q

Let the number of half dollars = h

The total number of coins int the jar is 30, which means,

q + h = 30 (1)

The total value of all coins is 8.75 which means,

0.25q + 0.5h = 8.75 (2)

Solving equation (1) for h yields,

h = 30 - q

and substituting this into (2),

0.25q + 0.5(30 - q) = 8.75

Now, distribute the "0.5" over the parenthesis,

0.25q + 15 - 0.5q = 8.75

Collect like terms and solve for q, this will give you the number of quarters.