Answer:
![0.25(x+3)+01.0x=1.80](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t6i7x472k3d2uzgua0wme90bigdirj9i9d.png)
Explanation:
Let x represent the number of dime in Louis's pocket.
We have been given that Louis has three more quarters than dimes in his pocket.
So the number of quarters in Louis's pocket would be
.
We know that 1 dime equals $0.10 and one quarter equals $0.25.
The value of x dimes
and value of quarters would be
.
We have been given that the value of quarters and dimes is $1.80. We can represent this information in an equation as:
![0.25(x+3)+01.0x=1.80](https://img.qammunity.org/2020/formulas/mathematics/middle-school/t6i7x472k3d2uzgua0wme90bigdirj9i9d.png)
Therefore, the equation
represents the number of dimes in Louis's pocket.