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Two student groups at Enormous State University, the Choral Society and the Foot

ID: 3007428 • Letter: T

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. In order 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 following input-output table. Given that 270 Choral Society papers and 405 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?

TO: Choral Soc. Football Club

FROM: Choral Soc. 20 10

Football Club 10 30

Total Output 100 200

Explanation / Answer

the output of the choral society for the last year is = 100

the total output for the two yearsis = 270 for choral society.

the remaining production by the two clubs. = 270-100

= 170.

the output of a foot ball club = 200

the total ouput for the two years = 405.

the remaining production rate by the two clubs= 405-200

= 205.

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