SOLUTION: Two factory plants are making TV panels. Yesterday, Plant A produced 16,000 panels. Two percent of the panels from Plant A and 5% of the panels from Plant B were defective.

Algebra.Com
Question 1103702: Two factory plants are making TV panels. Yesterday, Plant A produced
16,000
panels. Two percent of the panels from Plant A and
5%
of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was
3%
?
Answer: Number of panels produced by plant B: ?
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
Plant A defective panels + Plant B defective panels = 0.03*Defective panels

0.02*16000               + 0.05*b                   = 0.03*(16000+b)    (counting defective panels)  ====>


320 + 0.05b = 0.03*16000 + 0.03*b

320 + 0.05b = 480 + 0.03*b

0.05b - 0.03b = 480 - 320 = 160

0.02b = 160  ====>  b =  =  = 8000.


Answer.  Plant B produces 8000 panels.


Check.  0.02*16000 + 0.05*8000 = 720;  0.03*(16000+8000) = 720.   ! Correct !


This problem (or its TWINS) was solved MANY TIMES in this forum.

To see the history, make a GOOGLE search with keywords

"Two factory plants are making TV panels. Yesterday, Plant A produced" algebra.com



RELATED QUESTIONS

Two factory plants are making TV panels. Yesterday, Plant A produced 3 times as many... (answered by advanced_Learner)
Two factory plants are making TV panels. Yesterday, Plant A produced 3 times as many... (answered by stanbon)
Two factory plants are making TV panels. Yesterday, Plant A produced 2000 fewer... (answered by josmiceli)
Two factory plants are making TV panels. Yesterday, Plant A produced 7000 fewer panels... (answered by ikleyn)
Two factory plants are making TV panels. Yesterday, Plant A produced 3 times as many... (answered by josmiceli)
Two factory plants are making TV panels. Yesterday, Plant A produced 3000 fewer panels... (answered by ikleyn,Theo)
Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer... (answered by greenestamps)
Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels... (answered by math_tutor2020,MathLover1)
Two factory plants are making TV panels. Yesterday, Plant A produced 6000 fewer panels... (answered by ikleyn)