Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Join our platform to connect with experts ready to provide accurate answers to your questions in various fields. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Two factory plants are making tv panels. Yesterday, plant A produced twice as many panels as plant B. Four percent of the panels from plant A and 3% of the panels from plant B were defective. How many panels did plant B produce, If the two plants together produced 770 defective panels?

Sagot :

Let "x" represent the number of tv panels produced by plant B.

If plant A produced twice as many as plant B, then "2x" represents the number of tv panels produced by plant A.

For plant A, 4% of the panels were defective, to determine an expression that represents the number of defective panels, you have to multiply the amount produced by plant A by 0.04:

[tex]0.04\cdot2x=0.08x[/tex]

The expression "0.08x" represents the number of defective panels produced by plant A.

For plant B, 3% of the panels produced were defective, to obtain an expression that represents the number of defective panels, you have to multiply the production of plant B by 0.03:

[tex]0.03\cdot x=0.03x[/tex]

The expression "0.03x" represents the number of defective panels produces by plant B.

Both plants together produced 770 defective panels, you can write this as:

[tex]0.08x+0.03x=770[/tex]

From this equation, you can determine the value of x:

-Add both x-terms

[tex]0.11x=770[/tex]

-Divide both sides by 0.11

[tex]\begin{gathered} \frac{0.11x}{0.11}=\frac{770}{0.11} \\ x=7000 \end{gathered}[/tex]

x=7000 → So plant B produces 7000 tv panels.