Q:

The value of all of The quarters and dimes in the parking meter is $18 there are twice as many quarters and dimes what is the total of dimes in the parking meter?

Accepted Solution

A:
An equation is formed of two equal expressions. The total of dimes in the parking meter is 80.What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.Let the number of dimes be represented by 'x' while the number of quarters will be represented by 'y'.As it is given that there are twice as many quarters as dimes, therefore, x = 2yNow, the value of all of the quarters and dimes in the parking meter is $18, therefore, we can write,[tex]0.10x+0.25y=18[/tex]Substituting the value of x, we will get,[tex]0.10(2y)+0.25y=18\\\\0.20y+0.25y=18\\\\0.45y = 18\\\\y = 40[/tex]Further, the number of dimes is,[tex]x = 2y\\\\x = 2(40)\\\\x = 80[/tex]Hence, the total of dimes in the parking meter is 80.Learn more about Equation: