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

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Question 1158581: 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?
Check your work. What was the cost of each item?
The cleats cost $

The glove cost $

The hat cost $

Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


x = cost of cleats
(3/5)x = cost of glove (three-fifths the cost of the cleats)
(1/6)(3/5)x = (1/10)x = cost of hat (one-sixth the cost of the glove)

(original amount) minus (cost of items bought) = (money left)

184.00+-+%28x%2B%283%2F5%29x%2B%281%2F10%29x%29+=+39.50
184.00-39.50+=+%28x%2B%283%2F5%29x%2B%281%2F10%29x%29
144.50+=+%2817%2F10%29x
x+=+144.50%2F%2817%2F10%29+=+85

cleats: x = $85.00
glove: (3/5)x = $51.00
hat: (1/10)x = $8.50

CHECK:
$85+$51+$8.50 $144.50
$184.00-$144.50 = $39.50