Mariana mixes yellow and blue paint in a ratio of 2 : 5 to make green paint. She pours the yellow and blue paint into a large can to mix it. When the can is full, she realizes she wants to create a darker green and fills the rest of 7/8 the can with blue paint. What ratio of yellow to blue paint should Mariana use if she wants to create this same green color in the future?

Question

Mariana mixes yellow and blue paint in a ratio of 2 : 5 to make green paint. She pours the yellow and blue paint into a large can to mix it. When the can is full, she realizes she wants to create a darker green and fills the rest of 7/8 the can with blue paint. What ratio of yellow to blue paint should Mariana use if she wants to create this same green color in the future?

Answer 1

To find the ratio of yellow to blue paint that Mariana should use in the future, we need to analyze the current situation and the desired outcome.

Currently, Mariana is mixing yellow and blue paint in a ratio of 2:5 to obtain the green color. Let's assume that the quantity of yellow paint used is 2x and the quantity of blue paint used is 5x.

Now, Mariana fills the rest of the can, which is 7/8 of the total amount, with blue paint. This means, the amount of blue paint added is (7/8)*(2x+5x) = (7/8)*7x = 49x/8.

We know that the can is full after adding the blue paint, so the final quantity of blue paint is equal to the total capacity of the can, denoted by C. Therefore, we have the equation:

49x/8 = C

Now, to find the ratio of yellow to blue paint used for the desired darker green in the future, we need to determine the amount of yellow paint needed. Since the total quantity of paint after adding blue is C, the quantity of yellow paint used can be calculated as:

C - 49x/8

To find the ratio, we divide the quantity of yellow paint by the quantity of blue paint:

(C - 49x/8) / (49x/8)

Simplifying the expression, we get the ratio:

C/[(49x/8)] - 1

Therefore, the ratio of yellow to blue paint that Mariana should use in the future to create the same green color is:

C/[(49x/8)] - 1

Answer 2

To determine the ratio of yellow to blue paint that Mariana should use to create the same green color in the future, we need to analyze the proportions based on the given information.

Initially, Mariana mixed yellow and blue paint in a ratio of 2:5. This means that for every 2 units of yellow paint, she used 5 units of blue paint.

Then, she filled the remaining 7/8th of the can with blue paint to create a darker green. This tells us that the blue paint used was 7/8th of the total amount of paint in the can.

Now, to find the ratio, we can set up a proportion based on the amount of blue paint used:

(5 units of blue paint) / (2 units of yellow paint) = (7/8) / (1)

To solve for the unknown ratio, cross-multiply:

5 * 1 = (7/8) * 2

5 = 14/8

To simplify, we can multiply both sides by 8:

40 = 14

As 40 does not equal 14, this indicates an inconsistency in the given information. It seems there might be an error in the question, or some details are missing.

Please double-check the given information to resolve the inconsistency and have a more accurate ratio for the yellow to blue paint mixture.

Answer 3

you still haven't said

(a) how more paint can be added when the can is full
(b) just what "the rest of 7/8 the can" means
No matter how many times you post this garbled question, no one will be able to help.