please help with math

Algebra
Tutor: None Selected Time limit: 1 Day

Two factory plants are making TV panels. Yesterday, Plant A produced 
 fewer panels than Plant B did. Two percent of the panels from Plant A and 
 of the panels from Plant B were defective. How many panels did Plant A produce, if the two plants together produced 
defective panels?

number of panels produced by planet A : 

May 2nd, 2015

Let x be the number of panels produced by the plant A. Then this plant produced 2% of x, that is, 0.02x defective panels. Plant B produced 800 - 0.02x defective panels or 3% of its total production. So, plant B produced (800 - 0.02x)/0.03 panels or x + 5000. We get the following equation:

(800 - 0.02x)/0.03 = x + 5000                            multiply both sides by 0.03

800 - 0.02x = 0.03(x + 5000)

800 - 0.02x = 0.03x + 150

(0.02 + 0.03)x = 800 - 150

0.05x = 650, and x = 650/0.05 = 13000

Answer: The plant A produced 13000 panels.

May 2nd, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
May 2nd, 2015
...
May 2nd, 2015
Feb 24th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer