Find the value of t in the given formula, if $p = 4, q = 4$ and $r = 48$ are given.

$p = \frac{4 t - r}{t + 3 q}$

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Solution

The correct option is C
4

$p = \frac{4 t - r}{t + 3 q}$

$p t + 3 q t = 4 t - r$

$t (p + 3 q - 4) = r$

$t = \frac{r}{p + 3 q - 4}$

$t = \frac{48}{4 + 3 \times 4 - 4}$

$t = \frac{48}{12}$

$= 4$

$t = 5 + \frac{72}{2 \times 9}$

$t = 9$

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