SOLUTION: You started a business making sculptures that sell for 14.50 each. It cost you $.75 to make each sculpture. It takes you two hours to make a sculpture. You receive 50% off the sell

Algebra ->  Finance -> SOLUTION: You started a business making sculptures that sell for 14.50 each. It cost you $.75 to make each sculpture. It takes you two hours to make a sculpture. You receive 50% off the sell      Log On


   

Question 1167347: You started a business making sculptures that sell for 14.50 each. It cost you $.75 to make each sculpture. It takes you two hours to make a sculpture. You receive 50% off the selling price from the store selling the sculptures. She spends 14 hours a week making sculptures how many weeks will it take you to earn a profit of $360
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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You started a business making sculptures that sell for 14.50 each.
It cost you $.75 to make each sculpture. It takes you two hours to make a sculpture.
You receive 50% highlight%28cross%28off%29%29 highlight%28highlight%28of%29%29 the selling price from the store selling the sculptures.
She spends 14 hours a week making sculptures how many weeks will it take you
to earn a profit of $360
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Let 'w' be the number of weeks.


From the problem, you have this equation for your profit

    %28%2814.50%2F2%29-0.75%29%2A%2814%2F2%29%2Aw  = 360  dollars.


Simplify it

    (7.25-0.75)*7*w = 360

     6.5*7*w = 360.


Express and find w

    w = 360%2F%286.5%2A7%29 = 7.912087912  weeks.


You may round this value, if you need/want.

Solved