Sagot :
[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
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- 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
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- 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]