91Ó°ÊÓ

The number of $\$0.41$stamps she bought was five more than the number of $\$0.26$stamps. Ana spent $\$4.06$ in buying stamps. We have to find the number of each stamp she purchased.

Let xbe the number of $\$0.26$stamps.

Now, the number of $\$0.41$stamps was five more than the number of $\$0.26$stamps

So, the number of $\$0.41$stamps is $x+5$

Thus, the table is

The total value of stamps is$\$4.06.$

Write the equation by adding the total value of all the types of coins.

So,$0.26\left(x\right)+0.41\left(x+5\right)=4.06$

By proceeding with the equation we get,

$$\begin{gathered} 0.26\left(x\right)+0.41\left(x+5\right)=4.06 \\ 0.26x+0.41x+2.05=4.06 \\ 0.67x=2.01 \\ x=3 \end{gathered}$$

The number of $\$0.26$stamps is $3$and the number of $\$0.41$stamps is$3+5=8.$

To check the answer replace xby $3$into the original equation.

$$\begin{gathered} 0.26\left(3\right)+0.41\left(3+5\right)=4.06 \\ 0.78+1.23+2.05=4.06 \\ 4.06=4.06 \end{gathered}$$

It is true.

The number of $\$0.26$stamps is$3$and the number of $\$0.41$stamps is $8.$