Amixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue paint to make the same shade of purple using 35 teaspoons of blue paint, how much red paint would you need? use the double number line diagram to if needed

You would need 14 teaspoons of red paint.

Step-by-step explanation:

ratio of blue to red paint = 6:15

ratio needed: ?:35

35 ÷ 15 = 2.33

2.33 x 6 = 14

14 teaspoons of red paint will be required to make the same shade using 35 teaspoons of blue paint.    

Step-by-step explanation:

We are given the following information in the question:

A mixture of purple paint contains 6 teaspoons of red paint and 15 teaspoons of blue pain.

We have to calculate the amount of red paint to make the same shade using 35 teaspoons of blue paint.

Let x teaspoons be he amount of red paint required.

We use the concept of ratio.

Now,

Hence, 14 teaspoons of red paint will be required to make the same shade using 35 teaspoons of blue paint.

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225