Mr. Vectadore 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?
Round to the nearest hundredth.

$50.08

Step-by-step explanation:

Let's use x to represent the lesser expensive hat and 2x to represent the more expensive hat since the more expensive hat is twice the price.

So, our equation would be 2x + x = 75.12

We can combine them together to make 3x.

Then, we make the 3x equal to 75.12

3x = 75.12

Now, we solve it.

Divide both sides by 3 to solve for x.

75.12/3 = 25.04

x = 25.04

Lastly, plug it in for 2x to get the price of the more expensive hat.

2(25.04) = ?

2(25.04) = 50.08

Therefore, the price of the more expensive hat is $50.08

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