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In Mathematics / Middle School | 2014-10-12

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.

Asked by Percy

Answer (3)

1 : 9 = 6 : x x − t h e h e i g h t o f t h e f i c u s x = 1 6 ∗ 9 ​ x = 54 in c h es ​

Answered by mariamikayla | 2024-06-10

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, 9 1 ​ = x 6 ​
9 1 ​ ∗ x = 6
x = 6 ∗ 1 9 ​
x = 54
So, the height of the full-size ficus is 54 inches

Answered by rabinshrestha41 | 2024-06-10

The height of the full-size ficus tree is 54 inches. This is calculated using the ratio provided, where 6 inches (the height of the bonsai) equals 1 part of a 1:9 ratio, resulting in a total height of 54 inches. The calculation uses cross-multiplication to solve the ratio equation.
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Answered by mariamikayla | 2024-10-14