Question

In South Africa, musicians who perform along the streets are called buskers, and must get a permit, which costs $30. They can make an average of $45 per night (n), depending on the area. Some choose not to get this permit, but need to stay in less populated areas in order to not get caught without a permit so they may only make an average of $15 per night. How many nights of work would have the performers making an equal amount total?

Answer 1

The number of night of work each performers will have equal amount is 1 night

How to find the time of work that the performers will have equal amount?

The buskers gets permit which cost $30. They can make an average of $45 per night (n),

Therefore,

y = 45n - 30

Without a permit they may only make an average of $15 per night.

Therefore,

y = 15n

The number of night the money made are both equal.

45n - 30 = 15n

45n - 15n  = 30

30n = 30

n = 30 / 30

n = 1

Therefore, the number of night of work each performers will have equal amount is 1 night

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