A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added

If 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800mL of base is ____.

Question

A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added

If 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800mL of base is ____.

Infinity Learn · Accepted Answer

Concept- Red pigment should be mixed with 1800mL of base 24.
For the second part of this question, we can use the unitary method since any specific value corresponds to some other value, so that can be changed to a unit value corresponding to what value, effectively allowing us to multiply with the unit value with the number of times specified by the question. As both values are dependent and increasing, we can use the concept of direct proportion to solve this question.
Given, one component of red pigments and eight parts of base are combined to create a paint mixture.
Let y1 represent the basic amount that has 4 parts of red pigment added to it.
The base quantity must increase since the proportion of red pigment is growing.
As a result, it is obvious that they both directly relate to one another.
Given that they are inversely proportional,

In order to use the 4 parts of red pigment, 32 mL of base was added.
Let y2 be the base quantity after 7 parts of red pigment have been applied.
Since base and pigment have a direct relationship,
Question Image

Therefore, 56 mL of base was supplied after using 7 parts of red pigment.
Let y3 represent the base's addition after 12 parts of red pigment.
Since base and pigment have a direct relationship,
So,

So,

The base was added when the 12 parts of red pigment were used.
Let

, be the amount of base added with 20 parts of red pigment.
Since, both base and pigment are in direct proportion.
So,

As a result, when 20 parts of red pigment were employed,

a mathrm mL of base was added.
Consequently, the table will look like this:,
Question Image

If 1 part of a red pigment requires

of base,
Use unitary method,

the base uses 1 part of a red pigment.

of base uses

part of a red pigment.
So,

of base uses

part of a red pigment, that is equal to 24 parts.
Hence, the correct option is 24.

A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added

If 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800mL of base is ____.

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A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be addedIf 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800mL of base is ____.

Start JEE / NEET / Foundation preparation at rupees 99/day !!

Detailed Solution

tricks from toppers of Infinity Learn

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A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of the base that need to be added

If 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800mL of base is ____.