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"Sapphire Island is open 7 days a week. The park has 8 ticket booths, and each booth has a ticket seller from 10:00 am to 5 pm. On average, ticket sellers work 30 hours per week."

Write an equation that can be used to find t, the minimum number of ticket sellers.

1 Answer

5 votes

Answer:

t ≥ working hours for ticket sellers per week ÷ average ticket seller work hours per week

Explanation:

* Lets explain how to solve the problem

- Sapphire Island is open 7 days a week

- It has 8 ticket booths

- Each booth has a ticket seller from 10:00 am to 5 pm

- On average, ticket sellers work 30 hours per week

* Lets change these information to equation to find the minimum

number of ticket sellers t

∵ The time for each booth is from 10:00 am to 5:00 pm

∴ We need a ticket seller for 7 hours every day for each booth

∵ There are 8 booth

∴ The number of hours per day = 7 × 8 = 56 hours

∵ The Sapphire Island is open 7 days a week

∴ The number of hours per week = 56 × 7 = 392 hours

∵ The average ticket seller work hours is 30 hours per week

∵ The number of working hours for ticket sellers is 392 hours

per week

∵ t is the minimum number of ticket sellers

∴ t = 392/30 = 13.067

The minimum number of ticket sellers is 14

t ≥ working hours for ticket sellers per week ÷ average ticket seller

work hours per week

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