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# counting

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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?

Apr 4, 2021

#1
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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.

Apr 5, 2021
#3
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(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
edited by civonamzuk  Apr 5, 2021
#2
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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

Apr 5, 2021