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# 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

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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?

Jun 5, 2015

#1
+94607
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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

Jun 5, 2015

#1
+94607
+15

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

CPhill Jun 5, 2015
#2
+95361
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Great job Chris,

This venn diagram was a little tricky :)

Jun 6, 2015