Question

Tapiwa raked 5% more leaves than adam raked. Together they raked 697 liters of leaves. How many liters of leaves did adam rake?

Answer 1

Adam racked x leaves. A: x
Tapiwa racked 5% more than Adam. T: x+(5/100)x
Together they racked 697 leaves: x+x+(5/100)x=697
2x+0.05x=697, 2.05x=697
x=340.
Adam racked 340 leaves.

Answer 2

Assume that the number of leaves raked by Adam is x.
Tapiwa raked 5% more leaves than Adam, this means that:
Leaves raked by Tapiwa = x + 0.05x = 1.05x liters

We are given that the total number of raked leaves is 697 liters.
This means that:
Total raked = raked by Adam + raked by Tapiwa
697 = x + 1.05x
697 = 2.05x
x = 697 / 2.05
x = 340

Based on the above calculations:
Adam raked 340 liters of leaves
Tapiwa raked 1.05(340) = 357 liters of leaves