At Annville Junior High School, 30% of the students in the Math Club are in the Science Club, and 80% of the students in the Science Club are in the Math Club. There are 15 students in the Science Club. How many students are in the Math Club?
There are 15 in the Science club. And of these, 80%, (12) are also in the Math club.
Let x be the number in the Math club. And 30% of those in the Math club are also in the Science club.
So
.30x = 12 x = 40 And this is the number of students in the Math club.
Here's a Venn diagram
There are 15 in the Science club. And of these, 80%, (12) are also in the Math club.
Let x be the number in the Math club. And 30% of those in the Math club are also in the Science club.
So
.30x = 12 x = 40 And this is the number of students in the Math club.
Here's a Venn diagram