Answer:
The amount of paint used in the birdhouse = (1/4) of paint
Step-by-step explanation:
The amount of paint used in first go = 3/8
The amount of pain used in second go = 1/4
The amount of paint used in bird house = k
The amount paint left = 1/8
Now, according to the question:
Paint used in ( First go + second go + Birdhouse) + Paint left = 1 can Paint
⇒![\frac{3}{8} + \frac{1}{4} + k + \frac{1}{8} = 1\\\implies \frac{3 + 1(2) + 1}{8} + k = 1\\ \frac{6}{8} + k = 1 \\\implies k = 1 - \frac{6}{8} = \frac{8-6}{8} = \frac{2}{8} = \frac{1}{4} \\\implies k = \frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D%20%20%2B%20%5Cfrac%7B1%7D%7B4%7D%20%2B%20k%20%2B%20%5Cfrac%7B1%7D%7B8%7D%20%20%20%20%3D%201%5C%5C%5Cimplies%20%5Cfrac%7B3%20%2B%201%282%29%20%2B%201%7D%7B8%7D%20%2B%20k%20%3D%201%5C%5C%20%5Cfrac%7B6%7D%7B8%7D%20%2B%20k%20%3D%201%20%5C%5C%5Cimplies%20k%20%3D%201%20-%20%5Cfrac%7B6%7D%7B8%7D%20%20%3D%20%5Cfrac%7B8-6%7D%7B8%7D%20%20%3D%20%5Cfrac%7B2%7D%7B8%7D%20%20%3D%20%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5Cimplies%20k%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
or, The amount of paint used in the birdhouse = (1/4)