Linear Equation...

Wayne would like to buy a school jacket priced at $$\$81$$, but the price of the jacket is $$\$59$$ more than he has. In which of the following equations does $$x$$ represent the number of dollars Wayne has? 

The acute angles of a right triangle have a ratio of $$2:3$$. What is the difference between the two angle measures?

What is the solution of $$\displaystyle \frac{x-5}{2} - \frac{x-3}{5} = \frac{1}{2}$$?

The acute angles of a right triangle have a ratio of  $$12 : 3.$$ What is the difference between the two angle measures? 

The diagonal of a rectangle is thrice its smaller side. What is the ratio of its sides?

Two numbers are in the ratio $$3 : 8$$. If the sum of the numbers is $$165$$, then find the numbers.

If $$\dfrac{18\times 72\times x}{48\times 315} = \sqrt{81}$$, find the value of $$x$$.

A piece of string is $$40$$ centimeters long. It is cut into three pieces. The longest piece is $$3$$ times as long as the middle-sized and the shortest piece is $$23$$ centimeters shorter than the longest piece. Find the length of the shortest piece(in cm).

Kiran scored $$80$$ marks in his Science test which is $$\dfrac { 5 }{ 6 } $$ of the total marks. What are the total marks for the test?

The height of pole $$A$$ is $$\dfrac { 5 }{ 6 } $$ of pole $$B$$, and the height of pole $$B$$ is $$\dfrac { 1 }{ 2 } $$ of pole $$C$$. If the height of pole $$C$$ is $$72 m$$, how tall is pole $$A$$?