Suppose you have $7.20 in dimes and quarters. How many of each coin do you have if you have twice as many quarters as dimes?
A)10 dimes and 20 quarters
B)16 dimes and 32 quarters
C)14 dimes and 28 quarters
D)12 dimes and 24 quarters
E)19 dimes and 38 quarters

Question

Quizplus · Accepted Answer

Let the number of dimes be $d$ and the number of quarters be $q$. Given that $q = 2d$ and the total value is $7.20 or 720 cents. The value equation is $10d + 25q = 720$. Substituting $q = 2d$ into the equation gives $10d + 25(2d) = 720$, which simplifies to $60d = 720$, so $d = 12$ and $q = 2d = 24$.

Suppose You Have $7