When three-fourths of a number is added to the same number, it gives 28. One-fourth of the number is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 4
The number plus three-fourths of it is \(\frac{7}{4}\) of the number, which is given as 28. Let the number be \(n\).
The number plus three-fourths of it: \(\displaystyle n+\frac{3}{4}n=\frac{7}{4}n=28\)
The number \(n=16\)
One-fourth of the number \(=16\div4=4\)
Shortcut: \(\frac{7}{4}\) of the number is 28, so one-fourth of it is \(28\div7=4\) directly.