Question

Rachelle has $$6.30$ in nickels and quarters in her coin purse. The number of nickels is twice the number of quarters. How many coins of each type does she have?

Short answer

The number of quarters is$18$and nickels are$36$

Step-by-step solution

Step 1. Given Information

The total amount of money$=\$6.30$

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,

$$\begin{gathered} 0.25x+0.05\left(2x\right)=6.30 \\ 0.25x+0.1x=6.30 \\ 0.35x=6.30 \\ x=18 \\ Therefore, \\ 2x=36 \end{gathered}$$