SOLUTION: An athlete saved $184. She bought a glove, cleats, and a hat. After her purchases, she still had $39.50. The glove cost three-fifths the cost of the cleats, and the hat was one-six

Algebra ->  Customizable Word Problem Solvers  -> Unit conversion -> SOLUTION: An athlete saved $184. She bought a glove, cleats, and a hat. After her purchases, she still had $39.50. The glove cost three-fifths the cost of the cleats, and the hat was one-six      Log On

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Question 1158569: An athlete saved $184. She bought a glove, cleats, and a hat. After her purchases, she still had $39.50. The glove cost three-fifths the cost of the cleats, and the hat was one-sixth as much as the glove.
What was the cost of each item? How much more did the cleats cost than the hat?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
glove is 3x
cleats are 5x
hat is (1/6)*3x=1/2 x
spent was $184-$39.50=$144.50
144.50=8.5 x
x=$17
so hat is $8.50
gloves are $51
cleats are $85
cleats are $76.50 more than the hat.