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Question

State whether the following statements are true or false, and explain why. If a statement is false, state the true change.

A high school reports that its students' SAT scores were down by 20%20 \% for one year. The next year, however, SAT scores rose by 30%30 \%. The high school principal announces, "Overall, test scores have improved by 10%10 \% over the past two years."

Solution

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Here we will use the statement if the compared or new value is p%p\% more than the reference value, it's value is then (100+p)%(100+p)\% of the reference one.

Here we will use the statement if the compared or new value is p%p\% less than the reference value, it's value is then (100p)%(100-p)\% of the reference one. Denote the SAT scores by xx.

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