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 = [tex]\dfrac{9}{2}[/tex] acres.
Now, it is given that wheat is grown on [tex]\dfrac{5}{8}[/tex] of the land used to grow crops.
[tex]W = \dfrac{9}{2}\times \dfrac{5}{8}\\\\W = \dfrac{45}{16}\ acres[/tex]
Now, Â percentage of the total area of the land on the farm is used to grow wheat is :
[tex]\% W = \dfrac{45}{16\times 15 }\times 100\\\\\%W = 18.75 \%[/tex]
Hence, this is the required solution.
