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A carton contains 20 shirts , of which q are made of pure cotton. After 4 more pure cotton shirts are added to the carton, the probability of drawing a pure cotton shirt becomes 3/4 , find the value of q.

Answer :

kezieonella

Answer:

The value of q = 11

Step-by-step explanation:

Number of pure cotton shirts = [tex]\frac{4+q}{20}[/tex]

Probability of drawing pure cotton shirts = [tex]\frac{4+q}{20}[/tex] = [tex]\frac{3}{4}[/tex]

Substituting the above problem = 4(4 + q) = 3 x 20

                                                     =  16 + 4q = 60

                                                     = 4q = 60 - 16 = 44

                                                     = q = [tex]\frac{44}{4}[/tex]

∴ q = 11

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