an orchestra, 23 people can play stringed instruments, 21 can play brass, and 15 can play percussion. Further, 9 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint. Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.)
an orchestra, 23 people can play stringed instruments, 21 can play brass, and 15 can play percussion. Further, 9 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint. Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.)
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter3: Solving Equation And Problems
Section3.6: Problem Solving: Using Charts
Problem 2OE
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In an orchestra, 23 people can play stringed instruments, 21 can play brass, and 15 can play percussion. Further, 9 of the performers can play both strings and brass, whereas 8 can play both strings and percussion. If no one can play all three types of instruments, what are the maximum and minimum numbers of people in the orchestra? (Hint. Consider expressing the numbers in some of the regions of your diagram in terms of a single unknown, say x.)
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