Word Problem: You have started a business making papier mache sculptures. The cost to make a sculpture is $.75. Your sculptures sell for $14.50 each at a craft store. You receive 50% of the selling price. Each sculpture takes about 2 hours to complete. If you spend 14 hours per week making sculptures, about how many weeks will you work to earn a profit of $360?

Question

Trey Zavala

Mathematics

2 August, 14:31

Word Problem: You have started a business making papier mache sculptures. The cost to make a sculpture is $.75. Your sculptures sell for $14.50 each at a craft store. You receive 50% of the selling price. Each sculpture takes about 2 hours to complete. If you spend 14 hours per week making sculptures, about how many weeks will you work to earn a profit of $360?

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Answers (1)

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Keith Richmond · Answer 1

0.59 weeks will be the answer.

50/100 x 14.5 = 7.25 (profit per sculpture I will receive)

If $7.25 in 2 hrs then $a in 14hrs = $50.75 (ratio method)

1 week = 168 hrs

a week = 14hrs ... a = 0.083 week then multiply by $360 and then divide by $50.75 answer = 0.59 weeks.