Question

Eliana owns the Blossom garden shop. To keep her plants healthy, she always adds 3 cups of fertilizer for every 8 cups of soil. She filled a large pot with 24 cups of soil for a ficus plant. How many cups of fertilizer should Eliana add to the pot?

Answer 1

Answer: Eliana should add 9 cups of fertilizer to the pot.

Step-by-step explanation:

Given , Eliana always adds 3 cups of fertilizer for every 8 cups of soil. .

As the quantity of fertilizer is proportional to the quantity of soil.

That means,

$\dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{\text{24}}=\dfrac{\text{Number of cups of fertilizer for 8 cups of soil}}{8}\\\\\Rightarrow \dfrac{\text{Number of cups of fertilizer for 24 cups of soil}}{24}=\dfrac{3}{8}$

Multiply 24 on both sides , we get

$\Rightarrow\ \text{Number of cups of fertilizer for 24 cups of soil}=\dfrac{3}{8}\times24=3\times3=9$

Hence, Eliana should add 9 cups of fertilizer to the pot.