Question

if one part of red pigment required 75 ml of base how much red pigment should be mix with 1800 ml of base? direct and Inverse proportion chapter 4 second part testbook 8th standard​

Answer 1

Answer:

24 parts

24 partsThus, 24 parts of red pigment should be mixed with 1800 ml of base.

Answer 2

Answer:

Let the number of parts of red pigment be x and the parts of base be y.

As the number of parts of red pigment increases, the amount of base also increases in the same ratio. So they are in direct proportion.

Two numbers x and y are said in direct proportion if, the relationship between two quantities is such that if we increase one, the other will also increase, and if we decrease one the other quantity will also decrease.

x/y = k, x = ky

where k is a constant.

Thus, x₁ / y₁ = x₂ / y₂

x₁ = 1, x₂ = ?

y₁ = 75, y₂ = 1800

1 / 75 = x₂ / 1800

x₂ = 1 × 1800 / 75

x₂ = 24

Thus, 24 parts of red pigment should be mixed with 1800 ml of base.