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.

1. Kristine Tan
for Pinoy Math Forum
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3. 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
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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.

5. 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.
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7. 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
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Base
P10
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Rate
1%
P1,000

8. Given in the problem
Percentage & Rate
Base
Percentage & Base
Rate
Rate & Base
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You need to find
Percentage
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9. • Identify which 2 of the 3 quantities are given.
Base
Percentage
What is missing? The Rate.
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10. Rate P "over" B
P
B
6
30
1
5
Answer :
1
6 is of 30.
5
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12. 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%
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13. 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.
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0.80 200.00
250
80 20000
160
400
400
0
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16. We will translate the sentence into a mathematical equation.
N
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30
6
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17. 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
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18. 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.
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Percentage P
R
P
B
5
160
Base B
1
32
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19. • 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!
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20. 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.
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16000
25 400000.
-25
150
-150
0
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