Question

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?

Answer 1

Given:

Seed below the ground =
`3(1)/(4)\text{ in.}`

Total length of plant =
`11(1)/(2)\text{ in.}`

To find:

The length of plane above the ground.

Solution:

We have,

Plant below the ground =
`3(1)/(4)\text{ in.}`

Total length of plant =
`11(1)/(2)\text{ in.}`

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

`=11(1)/(2)-3(1)/(4)`

`=(11* 2+1)/(2)-(3* 4+1)/(4)`

`=(22+1)/(2)-(12+1)/(4)`

`=(23)/(2)-(13)/(4)`

Taking LCM, we get

`=(46-13)/(4)`

`=(33)/(4)`

`=8(1)/(4)`

Therefore, the length of plant above the ground is
`8(1)/(4)\text{ in.}`