Question

a painter mixes (2 + (1/2)) pints of yellow point with 4 pints of red paint to make a certain shade of orange of red paint. how many pints of yellow paint should be mixed with 10 pints of red paint to make this shade of orange.

Answer 1

Answer: 5 pints of yellow paint

Explanation:

We can start by using the proportion of yellow paint to red paint in the original mixture to figure out how much yellow paint should be mixed with 10 pints of red paint.

Let x be the number of pints of yellow paint that should be mixed with 10 pints of red paint to make the same shade of orange.

We know that:

(2 + (1/2))/(4 + (2 + (1/2))) = x/10

Simplifying the proportion, we get:

(5/4) / (11/4) = x/10

Cross-multiplying, we get:

(5/4) * 10 = x * (11/4)

Solving for x, we get:

x = (5/4) * 10 * (4/11)

x = (5/11) * 10

x = 5/11 * 10

x = 5

So, 5 pints of yellow paint should be mixed with 10 pints of red paint to make the same shade of orange as the original mixture.