SOLUTION: Chris runs a barber's shop. It costs him £20 per day to cover his expenses and he charges £4 for every hair cut. (a) Explain why his profit for any day is £ (4x -20) , where X i

Algebra ->  Inequalities -> SOLUTION: Chris runs a barber's shop. It costs him £20 per day to cover his expenses and he charges £4 for every hair cut. (a) Explain why his profit for any day is £ (4x -20) , where X i      Log On


   



Question 1116908: Chris runs a barber's shop. It costs him £20 per day to cover his expenses and he charges £4 for every hair cut.
(a) Explain why his profit for any day is £ (4x -20) , where X is the number of haircuts in a that day .
He hopes to make at least £50 profit per day , but does not intend to make more than £120 profit.
(b) write down an inequality to describe this situation.
(c) solve the inequality.

Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
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(a) Explain why his profit for any day is £ (4x -20) , where X is the number of haircuts in a that day .
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Profit is Revenue minus Cost.


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He hopes to make at least £50 profit per day , but does not intend to make more than £120 profit.
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50%3C=4x-20%3C=120

70%3C=4x%3C=140+

17.5%3C=x%3C=30

In a simpler way, only allowing that no fraction of a haircut,
18%3C=x%3C=30.