Out of 124

Out of 124 students, 68 went on at least one of two trips. 82 students did not go on the first trip, and 63 students went on exactly one trip. How many students went only on the first trip, and how many students went on the second trip?

Final Answer:

A =  37
B₂ =  31

Step-by-step explanation:

$$\begin{gathered} n=124 \\ w=n-68=124-68=56 \\ 82=w+B \\ B=82-w=82-56=26 \\ 63=A+B \\ A=63-B=63-26=37 \end{gathered}$$

$$\begin{gathered} C=68-(A+B)=68-(37+26)=5 \\ {B}_2=B+C=26+5=31 \end{gathered}$$

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