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Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using mathematical evidence or visual models

Sagot :

Answer:

15% of 25

Step-by-step explanation:

Given the following questions:

25% of 15
15% of 25

We find the answer by using the formula to calculate percentage for both questions.

Question one:
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{25\times15}{100} =25\times15=375\div100=3.75[/tex]
[tex]=3.75[/tex]

25% of 15 is 3.75

Question two:
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{15\times 25}{100}=15\times25=375\div100=3.75[/tex]
[tex]=3.75[/tex]

15% of 25 is 3.75

Finally:

[tex]3.75=3.75[/tex]

[tex]15-3.75=11.25[/tex]
[tex]25-3.75=21.25[/tex]
[tex]11.25 < 21.25[/tex]

Which means 15% of 25 is "greater than" 25% of 15.

Hope this helps.