Question

During the World Series the host city wide hotel occupancy rose 21% over the prior busiest night. If the busiest night had been 76% occupany, what was the new record? (use % symbol in answer)

Answer 1

The busiest night had occupancy of 76%

During the World Series, the occupancy increased by 21% to a new record.
The new record is
76% + (76%)*0.21 = 76%*1.21 = 91.96%

Answer: 91.96%

Answer 2

91.96%.

Explanation:

We have been given that during the World Series the host city wide hotel occupancy rose 21% over the prior busiest night. The busiest night had been 76% occupancy.

`\text{New record}=\text{Old record+ Increase in old record}`

To find the new record of occupancy, we will find 21% of 76% and add it to 76%.

`\text{The new record}=76\%+({21\%\text{ of } 76\%)`

`\text{The new record}=(76)/(100)+({(21)/(100)*(76)/(100))`

`\text{The new record}=0.76+({0.21* 0.76)`

`\text{The new record}=0.76+0.1596`

`\text{The new record}=0.9196`

Now let us convert our answer in percentage by multiplying our answer by 100.

`\text{The new record}=0.9196* 100=91.96\%`

Therefore, the new record of occupancy was 91.96%.