Louis has three more quarters than dimes in his pocket, for a total of $1.80. write an equation to represent the number of dimes , x, in his pocket.

Step-by-step 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:

Therefore, the equation represents the number of dimes in Louis's pocket.

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11