Question

The ratio of the height of a bonsai tree to the height of a full-size ficus tree is 1:9.The bonsai ficus is 6 inches tall. What is the height of a full-size ficus? Show your work.

Answer 1

$1:9=6:x \\ x-the \ height \ of \ the \ ficus \\\\ x=\frac{6*9}{1} \\\\ \boxed{x=54 \ inches}$

Answer 2

Given,
the ratio of height of a bonsai tree to a full-size ficus tree is 1:9
Bonsi ficus tree = 6 inches
Let,
the height of full size ficus tree be "x"
Then,
Using ratio and proportion, we can write,
$\frac{1}{9} = \frac{6}{x}$

$\frac{1}{9}*x = 6$

$x = 6*{ \frac{9}{1}}$

$x = 54$

So, the height of the full-size ficus is 54 inches