Question

of 350 males athletes at a high school, some play only basketball, some play only baseball, and some do both. if 250 of males play basketball, and 120 play both sports how many of the males play baseball? A. 100 B. 220 C. 130 D. 120

Answer 1

Answer:

A. 220

Step-by-step explanation:

Please see the attached for the venn diagram

Given that the total number of male athletes is 350

Let

Total number of male athletes = N

n(Bk) = number that play basketball

n(Bb) = number that play baseball

n(k) = number that play basketball only

n(x) = number that play baseball only

n(b) = number that play both

Then it is given that

n(Bk) = 250 , n(b) = 120

n(Bk) = n(b) + n(k)

250 = 120 + n(k)

n(k) = 250 - 120

      = 130

N = n(k) + n(x) + n(b)

350 =  130 + 120 +  n(b)

350 = 250 + n(b)

n(b)  = 350 -  250

n(b)  = 100

n(Bb) =  n(b) + n(x)

n(Bb) = 100 + 120

         = 220

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Answer 2

350 - 250 + 120 = 220 draw a ven diagram it will help