+312 1) In a school with 600 students, 317 are in the band and 234 are in the orchestra. If 122 students are in neither band nor orchestra, what is the probability that a randomly selected student is only in band or only in orchestra? Express your answer as a common fraction.
2) In shrom currency, 3/7 of a shrim, 4 5/7 shrums, and 14 1/7 shrams have the same value. How many shrums are in one shram and one shrim. Express your answer as a mixed number.
3) It take 50 minutes for 50 machines to make 50 matchbooks. How many minutes will it take for 20 machines to make 20 matchbooks?
+37146 1. If you draw a Venn diagram, you will see 244 in only band 161 in only orchestra 73 in both 122 neither
out of 600 244 /600 + 161 /600 = 405/600 = 27 /40
+37146 50 mach * 50 min /50 book = 50 mach-min/ book
50 mach-min / book / 20 mach * 20 book = 50 min
+37146 2.
14 1/7 Shram / 4 5/7 Shrum 99/7 * 7/33 = 99/33 = 3 Shram /1 Shrum so 1 Shram = 1/3 Shrum
4 5/7 shrum / 3/7 shrim = 33/7 * 7/3 = 33/3 = 11 shrum/shrim 1 shrim = 11 shrum
