In his garden tim plants the seed 3 1/4 in. Below the ground. After one month the tomato plant has grown a total of 11 1/2 in. How many inches is the plant above the​ ground?

Respuesta :

Given:

Seed below the ground = [tex]3\dfrac{1}{4}\text{ in.}[/tex]

Total length of plant = [tex]11\dfrac{1}{2}\text{ in.}[/tex]

To find:

The length of plane above the ground.

Solution:

We have,

Plant below the ground = [tex]3\dfrac{1}{4}\text{ in.}[/tex]

Total length of plant = [tex]11\dfrac{1}{2}\text{ in.}[/tex]

Plant above the ground  = Total length of plant - Plant below the ground

[tex]=11\dfrac{1}{2}-3\dfrac{1}{4}[/tex]

[tex]=\dfrac{11\times 2+1}{2}-\dfrac{3\times 4+1}{4}[/tex]

[tex]=\dfrac{22+1}{2}-\dfrac{12+1}{4}[/tex]

[tex]=\dfrac{23}{2}-\dfrac{13}{4}[/tex]

Taking LCM, we get

[tex]=\dfrac{46-13}{4}[/tex]

[tex]=\dfrac{33}{4}[/tex]

[tex]=8\dfrac{1}{4}[/tex]

Therefore, the length of plant above the ground is [tex]8\dfrac{1}{4}\text{ in.}[/tex]