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?

mathleteig Feb 2, 2020

#1**+2 **

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

ElectricPavlov Feb 2, 2020

#2**+2 **

50 mach * 50 min /50 book = 50 mach-min/ book

50 mach-min / book / 20 mach * 20 book = 50 min

ElectricPavlov Feb 2, 2020

#3**+2 **

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

ElectricPavlov Feb 3, 2020