THe Acme Industrial Tech College has fallen on hard times. Last year its enrollment dropped by 20%, and this year enrollement dropped another 15% from last years. Next year the college expected to have 50% of this years enrollment. What percent of enrollment can be expected to drop for all 3 years.
Do i have to add? Or do i do 20% of 15%. And that product of 50%??
remaining enrollment is
e * (100% - 20%) * (100% - 15%) * (100% - 50%)
dropped = starting - remaining
Thank you. The answer is 34%?
To calculate the total percentage drop for all three years, you need to multiply the individual percentage drops.
Let's break down the problem step by step:
1. Enrollment drop for the first year: 20%
This means that the enrollment decreased by 20% compared to the previous year.
2. Enrollment drop for the second year: 15%
The enrollment decreased by an additional 15% compared to the previous year.
3. Expected enrollment for the next year: 50% of this year's enrollment
This means that the college expects to have only 50% of the enrollment compared to the current year.
To find the total percentage drop over three years, you need to multiply the individual percentage drops.
First, you calculate the decrease in enrollment for the first two years:
(100% - 20%) * (100% - 15%) = 80% * 85% = 68%
Then you multiply the result by the expected enrollment for the next year:
68% * 50% = 34%
Therefore, the total percentage drop for all three years is 34%.
To summarize:
You don't add the percentage drops. Instead, you multiply them together to get the cumulative effect. In this case, you calculate the decrease for the first two years and then multiply that by the expected enrollment for the next year.