2420.31 – Watering Your Venus Flytrap

Tags:Problem Set 5Pre-Calculus MathAlgebra

I have two venus flytrap plants, each of which I lovingly water every day. Each plant gets the same amount of water as the other one, each day, and the daily amount is always the same. Through experimentation I found that one liter of water would last 14 days for the first plant alone, but would only last 10 days on the second plant alone (it's larger). How long would it last if I used the liter for both plants?


If I use my liter on both plants, on the first day I will use 110+114=24140=635\frac{1}{10} + \frac{1}{14} = \frac{24}{140} = \frac{6}{35} of the liter. In five days, I will use 5635=67 5 \frac{6}{35} = \frac{6}{7} of the liter. That leaves 17\frac{1}{7} left, which is not enough for a sixth day of watering.