A mixture of purple paint contains 8 teaspoons of red paint and 12 teaspoons of blue paint. To make the same shade of purple paint using 36 teaspoons of blue paint, how much red paint would you need?

24 teaspoons of red paint would be needed.

Step-by-step explanation:

Given that the initial mixture contains 8 teaspoons of red paint and 12 teaspoons of blue paint, this mixture contains a total of 20 units of paint, of which 8 are red, that is, 8 out of 20. Therefore, the proportion of red paint is 40%, while the proportion of blue paint is 60% remaining.

Therefore, in the case of making the same mixture (with the same proportion) using 36 teaspoons of blue paint, the necessary amount of red paint is determined through the following calculation:

60 = 36

40 = X

((40 x 36) / 60) = X

1,440 = 60 = X

24 = X

Thus, 24 teaspoons of red paint would be needed.

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step-by-step explanation: