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

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,

`(1)/(9) = (6)/(x)`


`(1)/(9)*x = 6`


`x = 6*{ (9)/(1)}`


`x = 54`

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

Answer 2

`1:9=6:x \\ x-the \ height \ of \ the \ ficus \\\\ x=(6*9)/(1) \\\\ \boxed{x=54 \ inches}`