At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and 8 students are taking both classes. How many people are in the chemistry class?

Guest Apr 4, 2021

#1**+1 **

Draw a venn diagram. Let there be $x$ students taking only chemistry and $y$ taking only biology. Then $(x+8)=3(y+8)$ and $x+y+8=43$. Now solve this, and the answer will be whatever $x+8$ is.

thedudemanguyperson Apr 5, 2021

#3**+2 **

(43 + 8)/4 = 12.75

x + 3x - 9 = 43 x = 13 3x = 39

x + 3x - 5 = 43 x = 12 3x = 36

x + 3x - 8 = 43 x = 12.75 3x = 38.25 Wrong!!!

civonamzuk
Apr 5, 2021

#2**+2 **

At a particular school with 43 students, each student takes chemistry, biology, or both. The chemistry class is three times as large as the biology class, and **8****()** students are taking both classes. How many people are in the chemistry class?

It's NOT 8 !!!

It's either 5 or 9.

(43 + 5)/4 = 12 chemistry class = 3 * 12 = 36

(43 + 9)/4 = 13 chemistry class = 3 * 13 = 39

civonamzuk Apr 5, 2021