Question

Bonita has $$2.95$ in dimes and quarters in her pocket. If she has five more dimes than quarters, how many of each coin does she have?

Short answer

Quarters are$7$and dimes are$12.$

Step-by-step solution

Step 1. Given information

Total amount in the pocket$=\$2.95$

The coins are in dimes and quarters.

Let the number of quarters be $x$

Therefore,

according to the sum,

Number of dimes will be$x+5$

Step 2. Solving the equation

Now, we can write,

$0.10(x+5)+0.25x=2.95$

$$\begin{gathered} 0.10x+0.50+0.25x=2.95 \\ 0.35x+0.50=2.95 \\ 0.35x=2.95-0.50 \\ 0.35x=2.45 \\ x=7 \\ Therefore, \\ x+5=12 \end{gathered}$$