A student used the proportion n/100 = 5/26 to find 5% of 26. What did the student do wrong?​

Given:

A student used the proportion [tex]\dfrac{n}{100}=\dfrac{5}{26}[/tex] to find 5% of 26.

To find:

The student's mistake.

Solution:

Let 5% of 26 be n. Then,

[tex]n=\dfrac{5}{100}\times 26[/tex]

On dividing both sides by 26, we get

[tex]\dfrac{n}{26}=\dfrac{5}{100}[/tex]

So, the proportion used by the student was incorrect. The denominators of the proportion are interchanged.

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Once upon a time, there was a lovely princess. But she had an enchantment upon her of a fearful sort, which could only be broken by love's first kiss. She was locked away in a castle, guarded by a terrible fire-breathing dragon. Many brave knights had attempted to free her from the dreadful prison, but none prevailed. She waited in the dragon's keep, in the highest room of the tallest tower, for her true love and true love's first kiss." [Laughing] Like that's ever gonna happen.
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[Shouting]
Steve Harwell: ♪ Get your game on, go play. Hey, now, you're a rock star. Get the show on, get paid. And all that glitters is gold, only shootin' stars break the mold. ♪
[Belches]
Villagers: Go! Go!
[Record Scrating]
Steve Harwell: ♪ Go. Go. Go. Hey, now, you're an all-star. Get your game on, go play. Hey, now, you're a rock star, get the show on, get paid. And all that glitters is gold, only shootin' stars break the mold. ♪
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