Question

Campus and Welfare Committee of school is planning to develop a blue shade for painting the entire school building. For this purpose various shades are tried by mixing containers of blue paint and white paint. In the following mixtures, decide which is a lighter shade of blue and also find the lightest blue shade among all of them.

Mixture G	Mixture H

If one container has one litre paint and the building requires 105 litres for painting, how many container of each type is required to paint the building by darkest blue shade?

Answer 1

In mixture G,

The number of blue containers = 3

The number of white containers = 3

∴ Ratio of blue and white = `3/3` = 1

In mixture H,

The number of blue containers = 4

The number of white containers = 3

∴ Ratio of blue and white = `4/3` = 1.33

Clearly, mixture G would be lighter shade, since for lighter shade white container should be more than blue container.

From the above all mixtures, mixture D is lightest among them.

∴ The total number of containers required for painting = 105

∴ Number of blue containers required for painting = `2/7 xx 105` = 2 × 5 = 30

∴ Number of white containers required for painting = `5/7 xx 105` = 5 × 15 = 75