cowboy hats for mr. vector

Question

Mr. Vector is buying two new cowboy hats. All together the hats cost $75.12. the second hat costs twice as much as the first hat. what is the price of the more expensive hat?

Answer 1

Let x = the cost of the cheaper hat

2x = cost of the more expensive hat, because it is twice as expensive

Cost of cheaper hat + cost of expensive hat = 75.12

x+2x=75.12 is the equation

Solving is the next step.

Combine like terms.

3x=75.12

Divide both sides by 3

3x/3=75.12/3

x=25.04 is the cost of the cheaper hat

2x = 2(25.04) = $50.08 is the cost of the more expensive hat