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:
`(7)/(20)^(th)\ \text{Part}`

Explanation:

Given

George weeded
`(1)/(4)` of the garden

When they both finish,
`(2)/(5)` of the garden still needed to be weeded

Suppose Summer weeded
`(1)/(x)` part

`\Rightarrow (1)/(4)+(1)/(x)=1-(2)/(5)\\\Rightarrow (1)/(4)+(1)/(x)=(3)/(5)\\\Rightarrow (1)/(x)=(3)/(5)-(1)/(4)\\\Rightarrow (1)/(x)=(12-5)/(20)=(7)/(20)`

So, summer weeded
`(7)/(20)\ ^(th)` part of the garden