Question

There are 3600 students at Canyon High School and 3/8 of these students are sophomores. If 3/5 of the sophomores are opposed to the school forming a rock climbing team and 9/10 of the remaining students (not sophomores) are also opposed to forming a rock climbing team, how many students are in favor of this idea

Answer 1

Answer:

765

Step-by-step explanation:

First, find the number of sophomores

3600 * 3/8 =1350

Use the number of sophomores and multiply by 3/5 to find the amount of sophomores opposed to rock climbing

1350 * 3/5 =810

Then subtract the amount of sophomores from the total amount of students

3600 - 1350 =2250

And multiply the remaining students by 9/10 to find the amount of non-sophomores opposed to rock climbing

2250 * 9/10 =2025

Add the amount of sophomores and non-sophomores opposed to rock climbing

810 + 2025 =2835

The amount of students in favor of rock climbing would be

3600 - 2835 =765