Question

4. Describe the proportion method for solving a percentage problem:

Answer 1

There are different ways percent problems can be solved. One of the ways to solve a percent problem is by using proportion method.

By using proportion method, the set-up is the same, I.e.

Further Explanation

$\frac{Part}{whole}$ = $\frac{percentage}{100}$

In any given expression:

• The number that has the % sign is the percent
• The number with the word “is” is the part
• The number with the word “of” is the whole

Example 1:

What number is 80% of 10?

It can be expressed as:

$\frac{part}{10}$ = $\frac{80}{100}$

If we cross multiply, then we have:

10 x 80 = 100 x part

800 = 100 x part

$\frac{800}{100}$ = $\frac{100}{100}$ x part (800 cross out 100 to give 8 and 100 cross out 100)

8 = part

Example 2:

3 is what percentage of 6?

It can be expressed as:  

$\frac{3}{6}$ = $\frac{percentage}{100}$

If we cross multiply, then we have:

3 x 100 = 6 x the percent

300 = 6 x the percent

$\frac{300}{6}$ = $\frac{6}{6}$ x the percent (300 cross out 6 to give 50 and 6 cross out 6)

50 = the percent

LEARN MORE:

• 1/6 the sum of 16 and 20  brainly.com/question/3003193
• 1/8 the sum of 23 and 17  brainly.com/question/957390

KEYWORDS:

• proportion method
• percentage problem
• cross multiplication
• percent
• multiplying

Answer 2

Step-by-step explanation:

Consider the provided information.

For the proportion method first set up the equation like this:

$\frac{Part}{Whole}=\frac{Percentage}{100}$

Perform the cross multiplication and then solve for the missing part.

For example:

Find 80 percentage of 10.

Step 1: Set up the equation.

$\frac{Part}{10}=\frac{80}{100}$

$\frac{Part}{10}=\frac{4}{5}$

Step 2: Perform the cross multiplication

$Part=\frac{4}{5}\times 10$

Step 3: Solve for the missing part.

$Part=4 \times 2$

$Part=8$