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# How to Use Percentage - Rate - Base (PRB) and Translation in Solving Math Problems

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This PPT presentation is the solution to your Math PRB problems! It runs through a review of the percentage - rate - base concept and the PRB triangle. It gives the definitions of the quantities percentage, rate, and base, and how they are related to each other through sample problems. The presentation also shows the use of translation - translating sentences to mathematical expressions or equations.

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### How to Use Percentage - Rate - Base (PRB) and Translation in Solving Math Problems

1. 1. Kristine Tan for Pinoy Math Forum www.yeinstein.com www.pinoymathforum.com
2. 2. P Percentage (portion, part, or share), always without a percent sign R Rate or percent, usually with a percent sign, it is the Percentage IN RELATION to the Base B Base, the original amount, usually the whole Percentage-Rate-Base www.yeinstein.com www.pinoymathforum.com
3. 3. www.pinoymathforum.com www.yeinstein.com 1 20 is of 100. 5 Answers: Percentage: 20 Rate: 1/5 Base: 100 20 20 20 20 20 The sentence means that if you cut 100 into 5 equal parts, then each of the 5 parts, or 1/5, is equal to 20.
4. 4. P R B 1 20 is of 100. 5 As seen from the previous slide, 1 shows how 20 is RELATED TO to 100. 5 We can say that, The rate R shows the relationship, either in fraction form or % form, of the percentage P to the base B. www.yeinstein.com www.pinoymathforum.com
5. 5. 1. Jessy ate 4 out of the 5 parts of her chocolate bar. This means she ate 80% of the chocolate bar. ANSWER Percentage Rate Base 4 80% 5 2. The interest rate for savings in a bank is 1% per year. When Anton deposited P1,000 in the bank, his money earned an interest of P10 in one year. ANSWER Percentage www.yeinstein.com Base P10 www.pinoymathforum.com Rate 1% P1,000
6. 6. Given in the problem Percentage & Rate Base Percentage & Base Rate Rate & Base www.yeinstein.com You need to find Percentage www.pinoymathforum.com
7. 7. • Identify which 2 of the 3 quantities are given. Base Percentage What is missing? The Rate. www.yeinstein.com www.pinoymathforum.com
8. 8. Rate P "over" B P B 6 30 1 5 Answer : 1 6 is of 30. 5 www.yeinstein.com www.pinoymathforum.com
9. 9. What are given in the problem? What do we need to find? What does Php 200.00 represent? Percentage. (Or part of the original price) What does 20% represent? The common misconception is that the given % quantity in the problem is the rate, but this is not always the case. The correct rate is (100% -20%) = 80%. Therefore, the given are: Percentage Php 200.00 Which means we have to FIND the Base. Rate = 80% www.yeinstein.com www.pinoymathforum.com
10. 10. Percentage Php 200.00 Rate = 80% Base P "over" R P R 200.00 80% 200.00 0.80 Answer: The original price is Php 250.00. www.yeinstein.com 0.80 200.00 250 80 20000 160 400 400 0 www.pinoymathforum.com
11. 11. We will translate the sentence into a mathematical equation. N www.yeinstein.com 30 6 www.pinoymathforum.com
12. 12. N 30 6 To answer N: What should N be, so that if you multiply it to 30, you get 6? Answer : 1 N must be . 5 www.yeinstein.com www.pinoymathforum.com
13. 13. Step 1: Find 20% of 25. “20% of 25” = 0.20 x 25 = 5 Step 2: Find the answer to “5 is what part of 160?”. In Step 2 now, we are looking for the rate R. www.yeinstein.com Percentage P R P B 5 160 Base B 1 32 www.pinoymathforum.com
14. 14. • Identify: what do 40 and 0.25% represent? • Answer: 40 represents the Percentage P. • 0.25% is the Rate R, where, in this problem, the number 40 is worth 0.25% of some number. • The number we are looking for is the Base B. B P R 40 0.25% 40 0.0025 Warning: 0.25% is NOT the same as 0.25. Take note of the “%” symbol! www.yeinstein.com www.pinoymathforum.com
15. 15. 40 0.0025 is the same as: 0.0025 40 Move the decimal point 4 places to the right, in both divisor and dividend. (Because we need to make the divisor 0.0025 a whole number). Answer: 40 is 0.25% of 16000. www.yeinstein.com 16000 25 400000. -25 150 -150 0 www.pinoymathforum.com
16. 16. www.yeinstein.com www.pinoymathforum.com