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Question 1103835: Two factory plants are making TV panels. Yesterday, Plant A produced 3000 fewer panels than Plant B did.
Five percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 1380 defective panels?
Found 2 solutions by ikleyn, Theo:
Answer by ikleyn(52884)   (Show Source):
You can put this solution on YOUR website! .
Two factory plants are making TV panels.
Yesterday, Plant A produced 3000 fewer panels than Plant B did.
Five percent of the panels from Plant A and 4% of the panels from Plant B were defective.
How many panels did Plant B produce, if the two plants together produced 1380 defective panels?
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A = B - 3000 (1) ("Plant A produced 3000 fewer panels than Plant B did")
0.05A + 0.04*B = 1380. (2) (counting defective panels)
Substitute expression (1) into eq(2). You will get
0.05*(B-3000) + 0.04*B = 1380,
0.05*B - 150 + 0.04*B = 1380,
0.09*B = 1380 + 150 = 1530 ====> B =  = 17000.
Answer. Plant B produced 17000 panels.
Answer by Theo(13342)  (Show Source):
You can put this solution on YOUR website! let x = the number of panels that plant A made.
let y = the number of panels that plant B made.
x = y - 3000
.05 * x + .04 * y = 1380
because they are equal to each other, replace x from the first equation with y - 3000 in the second equation to get:
.05 * (y - 3000) + .04 * y = 1380.
simplify to get .05 * y - 150 + .04 * y = 1380.
combine like terms to get .09 * y - 150 = 1380.
add 150 to both sides of this equation to get .09 * y = 1530.
divide both sides of this equation by .09 to get y = 17,000.
subtract 3000 from that to get x = 14,000.
x = y - 3000 becomes 17,000 - 14,000 = 3,000, confirming that the number of panels plant A produced is 3,000 less than the number of panels that plant B produced.
.05 * 14,000 + .04 * 17,000 = 1380, confirming that the total number of defective panels produced by both plants is equal to 1380.
your solution is that plant B produced 17,000 panels, if both plants produced 1380 defective panels.
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