Question

On a farm, 4 and half out of every 15 acres of the land are used to grow crops.

Wheat is grown on 5/8 of the land used to grow crops.
What percentage of the total area of the land on the farm is used to grow wheat?

Answer 1

Given :

On a farm, 4 and half out of every 15 acres of the land are used to grow crops.

Wheat is grown on 5/8 of the land used to grow crops.

To Find :

The total area of the land on the farm is used to grow wheat.

Solution :

Land required to grow crops on every 15 acres is :

C = 4.5 or C =
`(9)/(2)` acres.

Now, it is given that wheat is grown on
`(5)/(8)` of the land used to grow crops.

`W = (9)/(2)* (5)/(8)\\\\W = (45)/(16)\ acres`

Now, percentage of the total area of the land on the farm is used to grow wheat is :

`\% W = (45)/(16* 15 )* 100\\\\\%W = 18.75 \%`

Hence, this is the required solution.