Base, Rate & Percentage
To identify which statement is correct, prove that any of the three formulas are true.
[tex]\Large \tt Base = \frac{Percentage}{Rate}[/tex]
[tex]\Large \tt Rate = \frac{Percentage}{Base}[/tex]
[tex]\Large \tt Percentage = Base \times Rate[/tex]
(Use the formula for Percentage for a much more easier solution)
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20% of 50 is 20
[tex]\large \tt Percentage = Base \times Rate[/tex]
[tex]\large \tt 20 = 50 \times 20\%[/tex]
[tex]\large \tt 20 = 50 \times 0.2[/tex]
[tex]\large \tt \red{20 = 10}[/tex]
[tex]\Large \tt \red{FALSE}[/tex]
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30% of 15 is 35
[tex]\large \tt Percentage = Base \times Rate[/tex]
[tex]\large \tt 35 = 15 \times 30\%[/tex]
[tex]\large \tt 35 = 15 \times 0.3[/tex]
[tex]\large \tt \red{35 = 4.5}[/tex]
[tex]\Large \tt \red{FALSE}[/tex]
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40% of 80 is 32
[tex]\large \tt Percentage = Base \times Rate[/tex]
[tex]\large \tt 32 = 80 \times 40\%[/tex]
[tex]\large \tt 32 = 80 \times 0.4[/tex]
[tex]\large \tt \color{lime}{32 = 32}[/tex]
[tex]\Large \tt \color{lime}{TRUE}[/tex]
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Answer:
The correct statement is [tex]\bold{\purple{\Large 40\% \ \ of \ \ 80 \ \ is \ \ 32}}[/tex].
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