Solve.
-Sue took her collection of nickels and dimes to deposit in the bank. She has five fewer nickels than dimes. Her total deposit was $28.40. How many dimes did she deposit?
A)191 dimes
B)186 dimes
C)377 dimes
D)196 dimes

Question

Quizplus · Accepted Answer

Let the number of dimes be $d$ and the number of nickels be $n$. The problem states that $n = d - 5$ and the total value is $28.40. Since each dime is worth $0.10 and each nickel is worth $0.05, we can write the equation: $0.10d + 0.05n = 28.40$. Substituting $n = d - 5$ into the equation gives $0.10d + 0.05(d - 5) = 28.40$. Simplifying, we get $0.15d - 0.25 = 28.40$, leading to $0.15d = 28.65$, and dividing both sides by 0.15 gives $d = 191$.

Solve. -Sue Took Her Collection of Nickels and Dimes to Deposit