Mr. Vectadore is buying two new cowboy hats. All together the hats costs $75.12. The second hat costs twice as much as the first hat. What is the price of the most expensive hat? Round to the nearest hundredth.
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Given:
Two cow boy hats cost $75.12
The second hat cost twice as much as the first.
Find the price of the most expensive hat.
Solution:
Translate the given conditions into numerical expression. Since the cost of the 2 hats can be stated as a factor of 3, because the second hat's price is twice more than the first one, we can equate the price of the first one as.
3x = 75.12
x = 25.04
Second hat price=
2x
2(25.04) = $50.08
Check:
Add the price of the first hat and the second hat.
= $25.04 + $50.08
= $75.12
The price of the most expensive hat is $50.08