Solve the following word problem for the portion, rate, or base.


A quality control process finds 64.5 defects for every 8,600 units of production. What percent of the production is defective?

Do not enter units or symbols in your answer.
help please

64.5/8600 = ?

Change ? to a percentage.

Thanks!

To find the percent of production that is defective, we need to determine the portion, rate, or base.

In this case, the portion would be the number of defects, which is given as 64.5 defects.

The rate would be the number of defects per unit of production, which is also given as 64.5 defects for every 8,600 units.

The base would be the total number of units of production, which is also given as 8,600 units.

To find the percent of production that is defective, we can use the formula:

Percent = (Portion / Base) * 100

Plugging in the values, we have:

Percent = (64.5 defects / 8,600 units) * 100

Simplifying, we get:

Percent = 0.0075 * 100

Percent = 0.75%

Therefore, 0.75% of the production is defective.

To solve this word problem, we need to find the portion (which represents the number of defective units), the rate (which represents the number of defects per unit), and the base (which represents the total number of units produced).

In this case, we are given the rate and the base, and we need to find the portion.

Let's break down the information given:

- Number of defects: 64.5
- Number of units produced: 8,600

To find the portion (number of defective units), we can set up a proportion:

Defects/Units = Portion/Base

Substituting the given values:

64.5/8,600 = Portion/8,600

To find the portion, we need to solve for "Portion". Cross-multiplying the equation, we get:

64.5 * 8,600 = 8,600 * Portion

Simplifying the equation, we have:

554,700 = 8,600 * Portion

To isolate the Portion term, we divide both sides of the equation by 8,600:

554,700 / 8,600 = Portion

Calculating the division:

Portion ≈ 64.5

Therefore, the portion (number of defective units) is approximately 64.5.

To find the percent of production that is defective, we can set up another proportion:

Portion/Base = Percent/100

Substituting the known values:

64.5/8,600 = Percent/100

To find the percent, we solve for "Percent". Cross-multiplying the equation, we get:

64.5 * 100 = 8,600 * Percent

Simplifying the equation, we have:

6,450 = 8,600 * Percent

To isolate the Percent term, we divide both sides of the equation by 8,600:

6,450 / 8,600 = Percent

Calculating the division:

Percent ≈ 0.75

Therefore, the percent of production that is defective is approximately 0.75%.

So, the answer to the word problem is that approximately 0.75% of the production is defective.