Let x be the number of television panels that the Company B produced. It is stated in this item that 5% of these panels are defective. The number of defective panels from Company B is therefore equal to 0.05x.
With the representation above, the total number of panels produced by the two companies is equal to 12000 + x. The percentage of total defective panels to the total panels produced can be expressed through the equation,
((12000)(0.02) + 0.05x) / (12000+x))(100) = 3
Dividing the equation by 100
(240+0.05x)/(12000+x) = 0.03
Cross-multiplying the denominator of the left-hand side to the right hand side of the equation,
240 + 0.05x = 360 + 0.03x
Transposing like terms,
0.02x = 120
Dividing the equation by 0.02.
x = 6000
ANSWER: The number of tv panels produced by Company B is 6000.
