Respuesta :

Step-by-step explanation:

Consider the provided information.

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

[tex]\frac{Part}{Whole}=\frac{Percentage}{100}[/tex]

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

For example:

Find 80 percentage of 10.

Step 1: Set up the equation.

[tex]\frac{Part}{10}=\frac{80}{100}[/tex]

[tex]\frac{Part}{10}=\frac{4}{5}[/tex]

Step 2: Perform the cross multiplication

[tex]Part=\frac{4}{5}\times 10[/tex]

Step 3: Solve for the missing part.

[tex]Part=4 \times 2[/tex]

[tex]Part=8[/tex]

soneyedesola44

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

[tex]\frac{Part}{whole}[/tex] = [tex]\frac{percentage}{100}[/tex]

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:

[tex]\frac{part}{10}[/tex] = [tex]\frac{80}{100}[/tex]

If we cross multiply, then we have:

10 x 80 = 100 x part

800 = 100 x part

[tex]\frac{800}{100}[/tex] = [tex]\frac{100}{100}[/tex] 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:  

[tex]\frac{3}{6}[/tex] = [tex]\frac{percentage}{100}[/tex]

If we cross multiply, then we have:

3 x 100 = 6 x the percent

300 = 6 x the percent

[tex]\frac{300}{6}[/tex] = [tex]\frac{6}{6}[/tex] 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  https://brainly.com/question/3003193
  • 1/8 the sum of 23 and 17  https://brainly.com/question/957390

KEYWORDS:

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

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