Senior students

There are 7000 students at mountain high school, and 2/7 of these students are seniors. If 2/5 of the seniors favor the school forming a debate team and 3/8 of the remaining students, not seniors, are also forming a debate team, how many students do not favor this idea?

Final Answer:

x =  4325

Step-by-step explanation:

$$\begin{gathered} n=7000 \\ s=\frac{2}{7}\cdot n=\frac{2}{7}\cdot 7000=\frac{2\cdot 7000}{7}=\frac{14000}{7}=2000 \\ a=\frac{2}{5}\cdot s=\frac{2}{5}\cdot 2000=\frac{2\cdot 2000}{5}=\frac{4000}{5}=800 \\ b=\frac{3}{8}\cdot (n-s)=\frac{3}{8}\cdot (7000-2000)=1875 \\ c=a+b=800+1875=2675 \\ x=n-c=7000-2675=4325 \end{gathered}$$

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