A hairdresser is deciding where to open her own studio. If the hairdresser chooses Location A, she will pay $1200 per month in rent and will charge $45 per haircut. If she chooses Location B, she will pay $1800 in rent and will charge $60 per haircut. How many haircuts would she have to give in one month to make the same profit at either location?

Question

Mathematics

Naomi Tate

9 July, 07:56

A hairdresser is deciding where to open her own studio. If the hairdresser chooses Location A, she will pay $1200 per month in rent and will charge $45 per haircut. If she chooses Location B, she will pay $1800 in rent and will charge $60 per haircut. How many haircuts would she have to give in one month to make the same profit at either location?

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Jakobe Wilkinson · Answer 1

She will need to cut 26.6 haircuts a month a location A to break even (1200/45 = 26.6) so roughly 27 haircuts to make a profit

She will need to cut 30 haircuts at location B to break even (1800/60 = 30) and 31 hair cuts to see a profit.

She will need to cut 30.67 haircuts at location A and 33 haircuts at location B to make the same profit at either location (Roughly $180).

30.67 x 45 = 1380.15 - 1200 = 180

33 x 60 = 1980 - 1800 = 180