Question

In an survey of 825 farmers ,125 of them were not using any type of fertilizer in their vegetable farming.150 of them were using chemial as well as organic fertilizers.The ratio of the number of only chemical fertilizer users to that of only organic fertilizer users is 5:6 1) find the number of chemical fertilizers users. 2)how many of them were not using organic fertilizer 3)how many of them were using only one type of fertilizer?

Answer 1

5x+150+6x=825-125
11x=550
x=50
so only chemicals fertilizer=5x=250
only organic fertilizer=6x=300
both fertilizer=150
no fertilizer=125

Answer 2

Concept:

Here we use the concept of the substitution method and sets.

Given:

Total number of farmers = 825

Total number of farmers not using any type of fertilizer = 125

The total number of farmers using the chemical as well as organic fertilizers = 150

The ratio of the number of only chemical fertilizer users to that of only organic fertilizer users = 5:6

Find:

1. The total number of chemical fertilizers users.
2. The total number of them were not using organic fertilizer.
3. The total number of them were using only one type of fertilizer.

Solution:

Let the only chemical fertilizer users be 5x.

And, only organic fertilizer users be 6x.

So, we can write

125 + 150 + 5x + 6x = 825

275 + 11x = 825

11x = 825 - 275

11x = 550

x = 550/11

x = 50

1.  The total number of chemical fertilizers users = 5x

The total number of chemical fertilizers users = 5 × 50

The total number of chemical fertilizers users = 250

2. The total number of organic fertilizers users only = 6x

The total number of chemical fertilizers users = 6 × 50

The total number of chemical fertilizers users = 300

3. Now, we find the total number of farmers using only one type of fertilizer.

Only one type of fertilizer user = only organic fertilizer + only chemical fertilizer

Only one type of fertilizer user = 250 + 300

Only one type of fertilizer user = 550

Hence, the total number of chemical fertilizers users only is equal to 300 and the total number of organic fertilizer users only is equal to 250. And, the total number of users using only one type of fertilizer is equal to 550.

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