Two student groups at Enormous State University, the Choral Society and the Football Club, maintain files of term papers that they write and offer to students for research purposes. Some of these papers they use themselves in generating more papers. To avoid suspicion of plagiarism by faculty members (who seem to have astute memories), each paper is given to students or used by the clubs only once (no copies are kept). The number of papers that were used in the production of new papers last year is shown in the input-output table below. $$\begin{array} { | r | c | c | }
\hline \text { To } & \text { Choral Society } & \text { Football Club } \
\hline \text { From } \text { Choral Society } & 20 & 35 \
\hline \text { Football Club } & 35 & 30 \
\hline \text { Total Output } & 100 & 200 \
\hline
\end{array}$$ Given that 990 Choral Society papers and 1,485 Football Club papers will be used by students outside of these two clubs next year, how many new papers do the two clubs need to write

A)Choral Society 1,780, Football Club 2,480
B) Choral Society 1,730, Football Club 2,524
C) Choral Society 1,812, Football Club 2,466
D) Choral Society 1,770, Football Club 2,450
E) Choral Society 2,500, Football Club 1,830

Question

Two student groups at Enormous State University, the Choral Society and the Football Club, maintain files of term papers that they write and offer to students for research purposes. Some of these papers they use themselves in generating more papers. To avoid suspicion of plagiarism by faculty members (who seem to have astute memories), each paper is given to students or used by the clubs only once (no copies are kept). The number of papers that were used in the production of new papers last year is shown in the input-output table below. $$\begin{array} { | r | c | c | } 
\hline \text { To } & \text { Choral Society } & \text { Football Club } \
\hline \text { From } \text { Choral Society } & 20 & 35 \
\hline \text { Football Club } & 35 & 30 \
\hline \text { Total Output } & 100 & 200 \
\hline
\end{array}$$   Given that 990 Choral Society papers and 1,485 Football Club papers will be used by students outside of these two clubs next year, how many new papers do the two clubs need to write 
 
A)Choral Society 1,780, Football Club 2,480
B) Choral Society 1,730, Football Club 2,524
C) Choral Society 1,812, Football Club 2,466
D) Choral Society 1,770, Football Club 2,450
E) Choral Society 2,500, Football Club 1,830

Quizplus · Accepted Answer

The total output of the Choral Society is 100 papers, and 20 of those papers were used by the Choral Society itself. So, the Choral Society used 100 - 20 = 80 papers from the Football Club. The total output of the Football Club is 200 papers, and 35 of those papers were used by the Choral Society. So, the Football Club used 200 - 35 = 165 papers from the Choral Society.Next year, the Choral Society will use 80 papers from the Football Club, and the Football Club will use 165 papers from the Choral Society. So, the total number of papers that the two clubs need to write is 80 + 165 = 245 papers.The Choral Society will need to write 245 - 80 = 165 papers, and the Football Club will need to write 245 - 165 = 80 papers.

Two Student Groups at Enormous State University, the Choral Society