Question

Two factory plants are making TV panels. Yesterday, Plant A produced 4 times as many panels as Plant B. Three percent of the panels from Plant A and 2% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 980 defective panels?

Answer 1

7000 panels.

Explanation:

Let x be the number of panels produced by Plant B.

Therefore:

• 4x = number of panels produced by Plant A.
• x = number of panels produced by Plant B.

Given information:

• Defective panels from Plant A = 3%
• Defective panels from Plant B = 2%
• Total number of defective panels = 980

Create an equation with the given information and defined variables, remembering to write the percentages in their decimal form:

`\implies 0.03(4x) + 0.02x = 980`

To find the number of panels Plant B produced, solve the found equation for x:

`\implies 0.03(4x) + 0.02x = 980`

`\implies 0.12x + 0.02x = 980`

`\implies 0.14x = 980`

`\implies (0.14x)/(0.14) = (980)/(0.14)`

`\implies x=7000`

Therefore, Plant B produced 7000 panels.