Blue Water Resorts offers a vacation package starting at $1350 for a 4 night stay. Each additional night adds $149 to the package price. Sea Breeze Resort offers a similar package, starting at $900 for a 4 night stay. This vacation is available up to 14 nights, with each additional night past the fourth bringing a 15% increase in the price. For what length of vacation does each resort cost about the same?

Respuesta :

The length of vacation or time when each resort cost about the same is 32 days.

How to calculate the time?

From the information given, it was stated that Blue Water Resorts offers a vacation package starting at $1350 for a 4 night stay and each additional night adds $149 to the package price. Sea Breeze Resort offers a similar package, starting at $900 for a 4 night stay.

The equation to compute the time will be:

1350 + 149x = 900 + 135x

Compute like terms

149x - 135x = 1350 - 900

14x = 450

x = 450/14

x = 32

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