A t shirt maker wants to open his first store. If he chooses the store on Main Street he will pay 650 in rent and will charge 32$ per t shirt if he chooses the store on broad street he will pay 440 in rent and will charge 26$ per t shirt. How many t shirts would he have to sell in one month to math the same profit at either location.

Question

Mathematics

Catalina Brandt

23 November, 01:42

A t shirt maker wants to open his first store. If he chooses the store on Main Street he will pay 650 in rent and will charge 32$ per t shirt if he chooses the store on broad street he will pay 440 in rent and will charge 26$ per t shirt. How many t shirts would he have to sell in one month to math the same profit at either location.

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Answers (1)

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Marely Lester · Answer 1

Answer: 35 t shirts

Step-by-step explanation:

Let number of t shirts be x

Let profit made be y

On main street, the store costs $650,

Selling the t shirt at $32 per 1

He would make a revenue of 32x

Profit = revenue - cost accrued

y1 = 32x - 650

On Broad street, the store costs $440,

Selling the t shirt at $26 per 1

He would make a revenue of 26x

Profit = revenue - cost accrued

y2 = 26x - 440

To make same profit on either location

y1 = y2

32x - 650 = 26x - 440

32x - 26x = - 440+650

6x = 210

x = 210/6

= 35 t shirts