Given:
Raul needs to make a soil mixture of [tex]\dfrac{2}{5}[/tex] sand, [tex]\dfrac{2}{5}[/tex] clay, and [tex]\dfrac{1}{5}[/tex] peat moss to pot his plants.
He has 75 pounds of sand.
To find:
The total pounds of soil.
Solution:
Let x be the total points of soil.
It is given that [tex]\dfrac{2}{5}[/tex] of total soil is sand.
[tex]Sand=\dfrac{2}{5}x[/tex]
He has 75 pounds of sand.
[tex]\dfrac{2}{5}x=75[/tex]
[tex]2x=75\times 5[/tex]
[tex]x=\dfrac{375}{2}[/tex]
[tex]x=187.5[/tex]
The total pounds of soil is 187.5 pounds. Therefore, the correct option is C.
