Tapiwa raked
\[5\%\] more leaves than Adam raked. Tapiwa raked
\[357\] liters of leaves.
How many liters of leaves did Adam rake?
If Tapiwa raked 5% more leaves than Adam, we can express the amount of leaves Adam raked as 100% and the amount Tapiwa raked as 105% since Tapiwa raked 5% more.
We are given that Tapiwa raked 357 liters of leaves, and this corresponds to 105% of what Adam raked. We want to find out 100% of what Adam raked, which represents the full amount Adam raked.
Let's call the amount Adam raked "A" liters. So, 105% of Adam's amount is equal to Tapiwa's 357 liters.
We turn the percentage into a decimal by dividing by 100. Thus, 105% becomes 1.05.
So,
\[1.05 \times A = 357\]
To solve for "A", we need to divide both sides of the equation by 1.05:
\[A = \frac{357}{1.05}\]
\[A = 340\]
Therefore, Adam raked 340 liters of leaves.