Question

What percent of a foot is 3 in.; 4 in.; 6 in.; 9 in.?

Answer 1

Hey friend

Here your answer

1 foot = 12 inch

So,

$percentage \: of \: 3 \: inch = \: \frac{3 \times 100}{12 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{300}{12} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 25\% \\ \\ \\ \: \: percentage \: of \: 4 \: inch \: = \frac{4 \times 100}{12 } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{400}{12} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 33.33 \: \% \\ \\ \: \: \: \: \: percentage \: of \: 6 \: inch \: = \frac{6 \times 100}{12} \\\\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{600}{12} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 50\% \\ \\percentage \: of \: 9 \: inch \: = \frac{9 \times 100}{12} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{900}{12} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 75\% \\ \\ \: \: \: \: \: \: \: hope \: it \: helps \: you$

Answer 2

$\underline{\underline{\huge{\textbf{Question:}}}}$

What Percent of a foot is 3 inches, 4 inches, 6 inches, 9 inches ?

$\underline{\underline{\huge{\textbf{Solution:}}}}$

$\textsf{A foot is a measurement of length which is equal to 30.48 cm or 12 inches}$

$\textit{Foot}$ and $\textit{inches}$ are different units for the same quantity i.e., $\textsf{length}$

To convert one one to other, Unit conversion is to be followed.

$\bigstar \mathbf{1 foot = 12 inches}$

(1)$\textbf{What\: Percent\: of\: 1\: foot\: is\: 3\: inches\, ?}$

$1 foot \rightarrow 100 \%$

$12\: inches \rightarrow 100 \%$
$3\: inches \rightarrow ? \, (say\: x)\%$

Cross Multiply
$\implies 12 \times x = 3 \times 100$

$\implies 12x = 300$

$\implies x = \frac{300}{12}$

$\implies x = 25\%$

$\therefore \underline{\mathbf{25\% \: of\: 1\: foot\: is\: 3\: inches}}$

(2)$\textbf{What\: Percent\: of\: 1\: foot\: is\: 4\: inches\, ?}$

$1 foot \rightarrow 100 \%$

$12\: inches \rightarrow 100 \%$
$4\: inches \rightarrow ? \, (say\: x)\%$

Cross Multiply
$\implies 12 \times x = 4 \times 100$

$\implies 12x = 400$

$\implies x = \frac{400}{12}$

$\implies x = \frac{100}{3}$

$\implies x = 33\, \frac{1}{3}\%$

$\implies x = 33.33\%$

$\therefore \underline{\mathbf{33.33\% \: of\: 1\: foot\: is\: 3\: inches}}$

(3)$\textbf{What\: Percent\: of\: 1\: foot\: is\: 6\: inches\, ?}$

$1 foot \rightarrow 100 \%$

$12\: inches \rightarrow 100 \%$
$6\: inches \rightarrow ? \, (say\: x)\%$

Cross Multiply
$\implies 12 \times x = 6 \times 100$

$\implies 12x = 600$

$\implies x = \frac{600}{12}$

$\implies x = \frac{100}{2}$

$\implies x = 50\%$

$\therefore \underline{\mathbf{50\% \: of\: 1\: foot\: is\: 3\: inches}}$

(4)$\textbf{What\: Percent\: of\: 1\: foot\: is\: 9\: inches\, ?}$

$1 foot \rightarrow 100 \%$

$12\: inches \rightarrow 100 \%$
$6\: inches \rightarrow ? \, (say\: x)\%$

Cross Multiply
$\implies 12 \times x = 9 \times 100$

$\implies 12x = 900$

$\implies x = \frac{900}{12}$

$\implies x = \frac{300}{4}$

$\implies x = 75\%$

$\therefore \underline{\mathbf{75\% \: of\: 1\: foot\: is\: 9\: inches}}$