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.
