Answer: [tex]\dfrac89[/tex] cups of fertilizer is required for 3 bags of soil.
Step-by-step explanation:
Given: For every 9 bags of soil, the number of cups of fertilizers required = [tex]2\dfrac{2}{3}[/tex]
Quantity of fertilizer is proportional to the quantity of soil.
Let x be the number of cup of fertilizer required for 3 bags of soil, then
[tex]\dfrac{x}{3}=\dfrac{2\frac23}{9}\\\\\Rightarrow\ \dfrac{x}{3}=\dfrac{\dfrac83}{9}\\\\\Rightarrow\ x=\dfrac{8}{3\times9}\times3\\\\\Rightarrow\ x=\dfrac89[/tex]
Hence, [tex]\dfrac89[/tex] cups of fertilizer is required for 3 bags of soil.
