Question

Two little bands of monkeys were at play. An eighth of them squared were jabbering wildly in the thicket when twelve shouted loudly with glee. How many monkeys were there in the thicket?

• A. $16$
• B. $32$
• C. $64$
• D. $24$

Answer 1

The correct option is A $16$

Let each band have $x$ monkeys.
Hence, ${\left(\frac{x}{8}\right)}^2+12=x$

$x^2+768=64x$
$x^2-64x+768=0$
$x=48$ and $x=16$
Hence $16$ monkeys were there.