1.) 25 is 25% of what number? 2.) What is 80% of 50? 3.) What percent of 200 is 140? 4.) What is 150% of 70? 5.) 50 is 10% of what number? 6.) What percent of 450 is 90? 7.) 125 is 25% of what number




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1 25 Is 25 Of What Number 2 What Is 80 Of 50 3 What Percent Of 200 Is 140 4 What Is 150 Of 70 5 50 Is 10 Of What Number 6 What Percent Of 450 Is 90 7 125 Is 25 class=

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[tex]\Large\color{aqua}\underline\mathbb{PERCENTAGE, \: BASE, \: AND \: RATE}[/tex]

Answer the following questions. Show your solutions.

[tex]\\[/tex]

1.) 25 is 25% of what number?

[tex]\\[/tex]

Given:

  • P = 25
  • R = 25%
  • B = ?

[tex]\\[/tex]-----------------------------------------

  • B = P/R
  • B = 25/0.25
  • B = 100

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2.) What is 80% of 50?

[tex]\\[/tex]

Given:

  • P = ?
  • R = 80%
  • B = 50

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  • P = RB
  • P = (0.8)(50)
  • P = 40

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3.) What percent of 200 is 140?

[tex]\\[/tex]

Given:

  • P = 140
  • R = ?
  • B = 200

-----------------------------------------

  • R = P/B
  • R = 140/200
  • R = 0.7(100)
  • R = 70%

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4.) What is 150% of 70?

[tex]\\[/tex]

Given:

  • P = ?
  • R = 150%
  • B = 70

-----------------------------------------

  • P = RB
  • P = (1.5)(70)
  • P = 105

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5.) 50 is 10% of what number?

[tex]\\[/tex]

Given:

  • P = 50
  • R = 10%
  • B = ?

-----------------------------------------

  • B = P/R
  • B = 50/0.1
  • B = 500

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6.) What percent of 450 is 90?

[tex]\\[/tex]

Given:

  • P = 90
  • R = ?
  • B = 450

-----------------------------------------

  • R = P/B
  • R = 90/450
  • R = 0.2(100)
  • R = 20%

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7.) 125 is 25% of what number?

[tex]\\[/tex]

Given:

  • P = 125
  • R = 25%
  • B = ?

----------------------------------------

  • B = P/R
  • B = 125/0.25
  • B = 500

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[tex]\color{indigo}\underline{\color{violet}{\sf{EXPLANATION:}}}[/tex]

  • In my solution, we are finding the percentage, base and rate.
  • To solve for the Percentage, use the formula P = RB. Don't forget to change the percent to decimal by dividing it by 100.
  • To solve for the Rate, use the formula R = P/B. Don't forget to multiply the decimal to 100.
  • To solve for the Base, use the formula B = P/R. Simply divide it and, that's the base.

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[tex]\color{purple}\underline\mathbb{ANSWER:}[/tex]

  • 1. B = 100
  • 2. P = 40
  • 3. R = 70%
  • 4. P = 105
  • 5. B = 500
  • 6. R = 20%
  • 7. B = 500

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[tex]\tt\color{aqua}{8:43 \: am}[/tex]

[tex]\tt{3/4/22}[/tex]