A farmer has 1 hectare of land.one half of the land was used for planting Oranges, onw third of the remainder was used for planting mangoes while plantain was planted on the rest.
1.express thw area of land used for mangoes as a fraction of that used for plantain
2.if a labourer was given a week to weed the Orange plantation and he completes one fifth of it on the first day,what area,in square metres was left(Take 1 hectare=10,000msquare)
the ratios are 3:1:2
no idea
Answer
To answer these questions, let's break down the problem step by step:
1. Express the area of land used for mangoes as a fraction of that used for plantain:
- Given that half of the land was used for planting oranges, we have 1/2 hectare of land remaining.
- Now, one-third of this remaining land was used for planting mangoes, so the area of land used for mangoes is (1/2) * (1/3) = 1/6 hectare.
- Similarly, since the rest of the land (1/2) was used for planting plantains, the area of land used for plantains is also 1/2 hectare.
- Therefore, the fraction of land used for mangoes as compared to plantains is 1/6 : 1/2, which simplifies to 1/6 : 3/6, and further simplifies to 1 : 3.
2. Finding the area (in square meters) left after the laborer weeds one-fifth of the Orange plantation:
- Firstly, we need to calculate the area of the Orange plantation. We are given that 1 hectare equals 10,000 square meters.
- So, the area of the Orange plantation is 1/2 hectare, which is equal to (1/2) * 10,000 = 5,000 square meters.
- Now, if the laborer completes one-fifth of the Orange plantation on the first day, he has completed (1/5) * 5,000 = 1,000 square meters.
- Therefore, the area left after the first day is 5,000 - 1,000 = 4,000 square meters.
Therefore, the area left after the laborer completes one-fifth of the Orange plantation is 4,000 square meters.