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an engineering professor conducted a survey regarding the favorite subjects of the students. The following data were gathered; 60 students like algebra, 0 like calculus, and 45 like physics. 30 students like both calculus and algebra, 25 students both like calculus and physics, and 20 students like both Igebra and physics. Only 15 students like all three subjects. How many students were surveyed?

an engineering professor conducted a survey regarding the favorite subjects of the students. The following data were gathered; 60 students like algebra, 0 like calculus, and 45 like physics. 30 students like both calculus and algebra, 25 students both like calculus and physics, and 20 students like both Igebra and physics. Only 15 students like all three subjects. How many students were surveyed?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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An engineering professor conducted a survey regarding the favorite subjects of the students. The following data were gathered; 60 students like algebra, 50 like calculus, and 45 like physics. 30 students like both calculus and algebra, 25 students both like calculus and physics, and 20 students like both algebra and physics. Only 15 students like all three subjects. How many students were surveyed?
Transcribed Image Text:An engineering professor conducted a survey regarding the favorite subjects of the students. The following data were gathered; 60 students like algebra, 50 like calculus, and 45 like physics. 30 students like both calculus and algebra, 25 students both like calculus and physics, and 20 students like both algebra and physics. Only 15 students like all three subjects. How many students were surveyed?
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