Question

Ivan has $$8.75$ in nickels and quarters in his desk drawer. The number of nickels is twice the number of quarters. How many coins of each type does he have?

Short answer

The number of quarters are $25$and nickels are $50$.

Step-by-step solution

Step 1. Given Information

Total amount of money$=\$8.75$

Let he number of quarters be $x$

Therefore ,

According to the question,

number of nickels will be $2x$

Step 2. Solution of the equation 

Now, According to the question,

$$\begin{gathered} 0.05\left(2x\right)+0.25x=8.75 \\ 0.10x+0.25x=8.75 \\ 0.35x=8.75 \\ x=25 \\ Therefore, \\ 2x=2\times 25=50. \end{gathered}$$