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To get a shade of blue, a painter mixes blue paint and white paint in the ratio of 4:1.

How many litres of blue paint and white paint would be needed to get 60 litres of the required

shade of blue?

Which one is correct
55 blue and 5 white
48 blue and 12 white
45 blue and 15 white
40 blue and 20 white


Sagot :

Answer:

48 blue and 12 white

Explanation:

60 ÷ 5 = 12

4 × 12 = 48

12L white

48L blue

To check:

48 + 12 = 60

48 liters of blue paint and 12 liters of white paint would be needed to get 60 liters of the required shade of blue.

What is ratio?

"I is the comparison of two quantities of the same kind."

What is an equation?

"It is a mathematical statement that consists of equal symbol between two algebraic expressions."

For given question,

To get a shade of blue, a painter mixes blue paint and white paint in the ratio of 4:1

Let 'x' be the common factor of the ratio.

[tex]\Rightarrow \frac{4}{1} = \frac{4\times x}{1\times x}[/tex]

A painter needed 60 liters of the required shade of blue.

So, we get an equation,

⇒ 4x + 1x = 60

where 4x is the amount of blue paint and 1x is the amount of white paint.

We solve above equation.

⇒ 4x + 1x = 60

⇒ 5x = 60

⇒ x = 12 liters

And the value of 4x would be,

⇒ 4x = 4 × 12

⇒ 4x = 48 liters

Therefore, 48 liters of blue paint and 12 liters of white paint would be needed to get 60 liters of the required shade of blue.

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