Question

George weeded 1/4 of the garden, and summer weeded, some too. When they were finished, 2/5 of the garden still needed to be weeded. What fraction of the garden did summer weed?

Answer 1

Answer: $\dfrac{7}{20}^{th}\ \text{Part}$

Step-by-step explanation:

Given

George weeded $\frac{1}{4}$ of the garden

When they both finish, $\dfrac{2}{5}$ of the garden still needed to be weeded

Suppose Summer weeded  $\dfrac{1}{x}$ part

$\Rightarrow \dfrac{1}{4}+\dfrac{1}{x}=1-\dfrac{2}{5}\\\Rightarrow \dfrac{1}{4}+\dfrac{1}{x}=\dfrac{3}{5}\\\Rightarrow \dfrac{1}{x}=\dfrac{3}{5}-\dfrac{1}{4}\\\Rightarrow \dfrac{1}{x}=\dfrac{12-5}{20}=\dfrac{7}{20}$

So, summer weeded $\dfrac{7}{20}\ ^{th}$ part of the garden