Question

Isabelle is mixing red paint with blue paint to make purple paint. She adds of a fluid ounce 3/10 of red to 11/15 of a fluid ounce of blue to make 1 1/30 fluid ounces of purple. How many fluid ounces of red paint will she need to make 3 fluid ounces of purple paint?

If you will tell me how to do this and show me what you did??

Answer 1

27/31

Explanation:

Answer 2

Set up a proportion.
Red1/purple1 = Red2/purple2

Red1 = X
purple1 = 3
Red2 = 3/10
purple2 = 31/30


`(x)/(3) = ((3/10))/((31/30)) \\ \\ (x)/(3) = (3)/(10)*(30)/(31) = (9)/(31) \\ \\ x = (9)/(31)*3 = (27)/(31)`