Question

Colbert's backyard has two trees, shown below. The height of shorter tree is 3/5 of the height of the taller tree. If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree? ​

Answer 1

Answer:

The height of the taller tree is 7.5 feet.

Step-by-step explanation:

I am going to say that:

The height of the shorter tree is x.

The height of the taller tree is y.

The height of shorter tree is 3/5 of the height of the taller tree.

This means that $x = \frac{3y}{5}$

If the height of the shorter tree is 4 1/2 feet tall, what is the height, in feet, of the taller tree? ​

This means that $x = 4 + \frac{1}{2} = \frac{8+1}{2} = \frac{9}{2}$

We want to find y.

$x = \frac{3y}{5}$

$\frac{9}{2} = \frac{3y}{5}$

$6y = 45$

$y = \frac{45}{6}$

$y = 7.5$

The height of the taller tree is 7.5 feet.