Solve using a system of two equations in two unknowns.
-Aviva has 67 dimes and nickels. The total value of the coins is $5.55. Find the number of each type of coin.
A) 44 nickels and 23 dimes
B) 23 nickels and 44 dimes
C) 25 nickels and 42 dimes
D) 28 nickels and 39 dimes

Question

Quizplus · Accepted Answer

Let the number of nickels be $n$ and the number of dimes be $d$. We have two equations: $n + d = 67$ (total number of coins) and $0.05n + 0.10d = 5.55$ (total value of coins). Solving this system of equations yields $n = 23$ and $d = 44$, which corresponds to choice B.

Solve Using a System of Two Equations in Two Unknowns