Sagot :
Percentage, Rate, Base
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Percentage = Rate × Base
Rate = Percentage / Base
Base = Percentage / Rate
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Additional Activities: Solve the following problems. Show your solutions. Write the answer on your worksheet or activity notebook.
1. Find the percent of 7 out of 10 scores.
ANSWER: 70%
SOLUTION:
- Rate = Percentage / Base
- Rate = 7 / 10
- Rate = 0.7 = 70%
2. 8 is what percent of 20?
ANSWER: 40%
SOLUTION:
- Rate = Percentage / Base
- Rate = 8 / 20
- Rate = 0.4 = 40%
3. 750 is 25% of what number?
ANSWER: 3000
SOLUTION:
- Base = Percentage / Rate
- Base = 750 / 0.25 (25% —> 0.25)
- Base = 3000
4. 12 is what percent of 20?
ANSWER: 60%
SOLUTION:
- Rate = Percentage / Base
- Rate = 12 / 20
- Rate = 0.6 = 60%
5. Nilda saved Php450 from her allowance but spent Php150 on a school project. What percent of her savings did she spend?
ANSWER: 33%
SOLUTION:
- Rate = Percentage / Base
- Rate = 150 / 450
- Rate ≈ 0.33 = 33%
6. Ronald spent Php75 during the first day of class. This was 40% of his weekly allowance. How much was his allowance?
ANSWER: Php 187.50
SOLUTION:
- Base = Percentage / Rate
- Base = 75 / 0.4
- Base = 187.5
7. Rommel played table tennis and won 13 out of 20 games. What percent of the games did he lose?
ANSWER: 35%
SOLUTION:
- (He won 13 out of 20, so he lost at 7 games)
- Rate = Percentage / Base
- Rate = 7 / 20
- Rate = 0.35 = 35%
8. There are 12 girls in Ms. Spencer's class. The girls represent 40% of the entire class. How many students are there in the class?
ANSWER: 30 students
SOLUTION:
- Base = Percentage / Rate
- Base = 12 / 0.4
- Base = 30
9. Emily missed 11 questions in a test of 65 questions, what percent of the questions did she miss?
ANSWER: 17%
SOLUTION:
- Rate = Percentage / Base
- Rate = 11 / 65
- Rate ≈ 0.17 = 17%
10. Tomas saved Php3 500 on his enrolment. He spent Php1 250 on miscellaneous expenses. What percent did he spend on miscellaneous expenses?
ANSWER: 36%
SOLUTION:
- Rate = Percentage / Base
- Rate = 1250 / 3500
- Rate ≈ 0.36 = 36%