Question

A fertilizer contains 4 parts of Phosphate 6 Parts of Nitrogen and 5 parts of Potash. Find the number of kilograms of fertlizer having 80kilograms of Phosphate

Answer 1

answer : mass of fertilizer = 300 kg

explanation : A fertilizer contains 4 parts of phosphate, 6 parts of nitrogen and 5 parts of potash.

Let mass of fertilizer = x kg

then, mass of phosphate = 4/(4 + 6 + 5) × x kg

= 4x/15 kg

given, mass of phosphate = 80 kg

so, 4x/15 kg = 80 kg

or, 4x = 80 × 15

or, x = 300

hence, mass of fertilizer = 300 kg.

[ note : also you can find mass of nitrogen = 6/(4 + 6 + 5) × x = 6x/15 = 6 × 300/15 = 120kg

and mass of potash = 5/(4 + 6 + 5) × x = 5x/15 = x/3 = 300/3 = 100kg ]

Answer 2

Answer:

Weight of the Fertilizer is 300 kg.

Step-by-step explanation:

Given:

Ratio of the Phosphate : Nitrogen : Potash = 4 : 6 : 5

Weight of the Phosphate in fertilizer = 80 kg

To find: Total Weight of the Fertilizer

So, let amount of Phosphate = 4y kg

Amount of Nitrogen = 6y kg

Amount of Potash = 5y kg

According to the question,

4y = 80

y = 20

Total Weight of the Fertilizer = 4y + 6y + 5y

                                                 = 15y

                                                 = 15 × 20    (putting the value of y)

                                                 = 300 kg

Therefore, Weight of the Fertilizer is 300 kg.