1. ## Percentage problem

This year, 75% of the graduating class of Harriet Tubman High School had taken at least 8 math courses. Of the remaining class members, 60% had taken 6 or 7 math courses. What percent of the graduating class had taken fewer than 6 math courses?

2. Hello jesselovesmath
Originally Posted by jesselovesmath
This year, 75% of the graduating class of Harriet Tubman High School had taken at least 8 math courses. Of the remaining class members, 60% had taken 6 or 7 math courses. What percent of the graduating class had taken fewer than 6 math courses?

75% away from 100% leaves 25% who had taken less than 8 math courses. And 60% of these had taken 6 or 7 courses. So 40% of them had taken fewer than 6.

That's 40% of 25% = 10% of the whole class.

(If you're not sure why, work out $\frac{40}{100}\times\frac{25}{100}$.)