Question

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

5000
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 B produce, if the two plants together produced
1100
defective panels?

Answer 1

B produced 20000 panels

Explanation:

Plant A produced 5000 fewer panels than Plant B did

A = B - 5000 eq1

Two percent of the panels from Plant A and 4% of the panels from Plant B were defective:

0.02A + 0.04B = 1100 eq2

Solving the two equations:

Put value of A from 1 in 2

0.02 (B - 5000) + 0.04B = 1100

0.06B - 100=1100

0.06B = 1200

B = 20000