In a certain school, 2/3 of the male students like to play basketball, but only 1/5 of the female students like to play basketball. What percent of the population of the school do not like to play basketball if the ratio of the male to female students is 3:2 and there are 1000 students?
How many parts are there? ** The students are divided into 3 + 2 = <<3+2=5>>5 parts where 3 parts are for males and 2 parts are for females.
How many students are in each part? ** Each part represents 1000/5 = <<1000/5=200>>200 students.
How many males are there? ** So, there are 3 x 200 = <<3*200=600>>600 males.
How many females are there? ** And there are 2 x 200 = <<2*200=400>>400 females.
How many males play basketball? ** Hence, 600 x 2/3 = 400 males play basketball.
How many females play basketball? ** And 400 x 1/5 = <<400*1/5=80>>80 females play basketball.
How many students play basketball? ** A total of 400 + 80 = <<400+80=480>>480 students play basketball.
How many students do not like to play basketball? ** Therefore, 1000 - 480 = <<1000-480=520>>520 do not like to play basketball.
What percent of the school do not like to play basketball? ** The percentage of the school that do not like to play basketball is 520/1000 * 100 = <<520/1000*100=52>>52
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