Final answer:
Brain used 30 gallons of fertilizer out of the total 80 gallons.
Step-by-step explanation:
In this problem, Brain uses a total of 3 parts fertilizer to plant 5 parts soil for each tree. So, the ratio of fertilizer to soil is 3:5. We know that Brain uses a total of 80 gallons of fertilizer and soil. To find out how much of the 80 gallons is fertilizer, we first need to find the total number of parts in the ratio:
3 + 5 = 8
Next, we divide the 80 gallons by the total number of parts:
80 ÷ 8 = 10
Therefore, each part represents 10 gallons. Since the ratio of fertilizer to soil is 3:5, we can find the amount of fertilizer by multiplying 3 parts by 10 gallons:
3 × 10 = 30
So, Brain used 30 gallons of fertilizer out of the total 80 gallons.