Question

To make a shade of paint called navy blue, mix 3 quarts of blue with 223 cups of orange. How much blue paint should be mixed with 6 cups of orange paint to make navy blue? Drag and drop the correct choice to complete the sentence. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. To make navy blue, Response area of blue will be needed.

Answer 1

To make navy blue, 0.0807 cups of blue will be needed.

Ratio of blue to orange in navy blue: We know that for every 3 quarts of blue paint, we need 223 cups of orange paint to make navy blue. This translates to a ratio of blue to orange of:

ratio_blue_to_orange = 3 quarts / 223 cups = 0.013453 quarts per cup

Converting quarts to cups: Since we're dealing with 6 cups of orange paint, we need to convert the ratio of blue to orange to cups per cup:

ratio_blue_to_orange = 0.013453 quarts per cup * 4 cups per quart = 0.053812 cups per cup

Calculating the amount of blue paint needed: Now, we can simply multiply the ratio of blue to orange by the amount of orange paint (6 cups) to find the required amount of blue paint:

amount_blue_paint = ratio_blue_to_orange * amount_orange_paint = 0.053812 cups per cup * 6 cups = 0.0807 cups

Therefore, to make navy blue with 6 cups of orange paint, you will need approximately 0.0807 cups of blue paint.