A merchant surveyed 500 people to determine the way they learned about an upcoming sale. The survey showed that 290 learned about the sale from the​ radio, 250 from​ television, 250 from the​ newspaper, 140 from radio and​ television, 130 from radio and​ newspapers, 120 from television and​ newspapers, and 70 from all three sources. How many people learned of the sale from radio or television but not the​ newspaper?

There are 220 people learned of the sale from radio or television but not the​ newspaperStep-by-step explanation:A merchant surveyed 500 people to determine the way they learnedabout an upcoming saleThe survey showed that:290 learned about the sale from the​ radio250 from​ television250 from the​ newspaper140 from radio and​ television130 from radio and​ newspapers120 from television and​ newspapers70 from all three sourcesTo solve this problem by an easy way draw a Venn-diagram represents the surveyIn the attached figure:There are 3 intersected circles R for radio , T for television and N fornewspaperLet us fill it by the given∵ There are 70 learned from all three sources∴ R ∩ T ∩ N = 70∴ Write in the common part of R , T and N 70∵ There are 140 from radio and​ television- Subtract 70 from 140 to get R ∩ T only∴ Write in the common part of R and T not in N 140 - 70 = 70∵ There are 130 learned from radio and​ newspaper- Subtract 70 from 130 to get R ∩ N only∴ Write in the common part of R and N not in T 130 - 70 = 60∵ There are 120 learned from television and​ newspaper- Subtract 70 from 120 to get T ∩ N only∴ Write in the common part of T and N not in R 120 - 70 = 50∵ There are 290 learned about the sale from the​ radio∴ There are 290 - 70 - 70 - 60 = 90 learned from the radio only∵ There are 250 learned about the sale from the​ television∴ There are 250 - 70 - 70 - 50 = 60 learned from the television only∵ There are 250 learned about the sale from the​ newspaper∴ There are 250 - 70 - 60 - 50 = 70 learned from the newspaper only∵ There are 500 people in the survey∵ There are 90 + 70 + 60 + 50 + 70 + 60 + 70 = 470 in R, T and N∴ There are 500 - 470 = 30 not learned from the three sources∴ Write 30 in the region outside the circles∵ We need to find the people learned from radio or television but    not the​ newspaper- Add all the numbers in circles R and T but not in circle N∵ 90 + 70 + 60 = 220∴ There are 220 people learned of the sale from radio or television    but not the​ newspaperThere are 220 people learned of the sale from radio or television but not the​ newspaperLearn more:You can learn more about surveys in brainly.com/question/10552347#LearnwithBrainly