The campus and welfare committee of the school intends to create a green color for the entire school structure. By combining containers of green paint with containers of white paint, several colors are tested for this purpose. Then ____ containers of white color and ____ containers of green color are needed to paint the structure the lightest shade of green if each container holds one litre of paint and the structure needs 105 litres to be painted.

Question

The campus and welfare committee of the school intends to create a green color for the entire school structure. By combining containers of green paint with containers of white paint, several colors are tested for this purpose. Then containers of white color and containers of green color are needed to paint the structure the lightest shade of green if each container holds one litre of paint and the structure needs 105 litres to be painted.

Accepted Answer

The campus and welfare committee of the school intends to create a green color for the entire school structure. By combining containers of green paint with containers of white paint, several colors are tested for this purpose. Then 60 containers of white color and 45 containers of green color are needed to paint the structure the lightest shade of green if each container holds one litre of paint and the structure needs 105 litres to be painted.The ratio of the green containers to the white containers should be smaller for lighter shades of green. Consider the proportion between the quantity of green and white containers.Number of green containers in Mixture A = 3.Number of white containers in Mixture A = 4.The ratio of the green containers to the white containers

=3:4=
    3
    4
   
   =0.75.
  Number of green containers in Mixture B = 3.Number of white containers in Mixture B = 3.The ratio of the green containers to the white containers

=3:3=
    3
    3
   
   =1.
  Therefore, mixture A contains a lighter shade of green because

0.75.<1.
  Since if each container holds one litre of paint, and the structure needs 105 litres to be painted, thereforeThe total number of containers needed for painting = 105.Number of green color needed for painting =

3
    7
   
   ×105=45.
  Number of white color needed for painting =

4
    7
   
   ×105=60.
  Hence, 60 containers of white color and 45 containers of green color are needed to paint the structure the lightest shade of green if each container holds one litre of paint and the structure needs 105 litres to be painted.

Best Courses for You

Detailed Solution

courses

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

download the app

Download the App