Problema Solution
Two factory plants are making TV panels. Yesterday, Plant A produced 300 fewer panels than Plant B did. Three percent of the panels from Plant A and two of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 600 defective panels?
Answer provided by our tutors
We know that number of panels from factory A (A) is 300 less than number of panels in factory B (B)
So...
A = B - 300
we know that 3 % of A (or B-300) is defective, and 2% of B is defective, totalling 600...rewrite in terms of B
0.03(B-300) + 0.02(B) = 600
0.05B - 9 = 600
0.05B = 609
B = 12180
and A = B - 300
A = 12180 - 300
A = 11880
Factory A made 11880 panels, and Factory B made 12180