Problema Solution
Two factory plants are making TV panels. Yesterday, Plant A produced 8000 fewer panels than Plant B did. Two percent of the panels from Plant A and 4% of the panels from Plant B were defective. How many panels did Plant A produce, if the two plants together produced 920 defective panels?
Answer provided by our tutors
Let
a = the number of panels that Plant A produced
b = the number of panels that Plant B produced
Plant A produced 8000 fewer panels than Plant B:
a = b - 8000
2% of the panels from Plant A and 4% of the panels from Plant B were defective and the two plants together produced 920 defective panels:
0.02a + 0.04b = 920
We have the following system of equations:
a = b - 8000
0.02a + 0.04b = 920
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click here to see the system of equations solved for a and b
........
a = 10,000 panels
b = 18,000 panels
Plant A produced 10,000 panels.