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Dmitry_Shevchenko [17]
3 years ago
15

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? ​
Mathematics
1 answer:
Viefleur [7K]3 years ago
8 0

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.

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