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?

Cost of the gloves is $ 51

Cost of the cleats is $85

Cost of the hat is $8.50

Cleats cost $76.5 more than the hat.

Step-by-step explanation:

Let the cost of gloves be 'g'

Let the cost of cleats be 'c'

Let the cost of hat be 'h'

Total money she had = $184

Money left after purchasing = $39.50

Money spent = 184 - 39.50

=$144.50

g = (3/5) c

(5/3) g = c

h = (1/6) g

g + c + h = 144.50

g + (5/3) g + (1/6) g = 144.50

(6g + 10g + g) /6 = 144.50

(17g) /6 = 144.50

(17/6) g = 144.50

g = (144.50) (6/17)

g = $51

c = (5/3) g

c = (5/3) (51)

c = $85

h = (1/6) g

h = (1/6) (51)

h = $8.5

Cost of the gloves is $ 51

Cost of the cleats is $85

Cost of the hat is $8.50

Cleats cost $76.5 more than the hat.

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