contestada

An apprentice hairdresser needs to prepare a solution to colour a client’s hair. The client wants high lift shades.
The apprentice hairdresser measures out 75ml of developer.
Hair shade
Ratio of hair colour to developer
Grey coverage and fashion shades High lift shades
Hair lightener
What amount of hair colour should she measure out?
1 : 1
1 : 1.5 1 : 2

Respuesta :

Answer:

50 mL

Explanation:

Ver imagen levisnackerman

The amount of the hair color needed ( in ml ) to the amount of developer used (75 ml) for this case is 50 ml

When does two ratios form a proportion?

Two ratios form a proportion if simplified form of both the ratios comes out as same ratio.

For this case, we're specified that:

Hair color : Developer is proportional to 1 : 1.5


Now, the developer used is 75 ml, let the hair color to be used is x ml, such that its proportional to 1 : 1.5, then:

[tex]x:75 :: 1:15\\\\\dfrac{x}{75} = \dfrac{1}{1.5}\\\\\\\text{Multiplying 75 on both the sides}\\\\x = \dfrac{75}{1.5} = \dfrac{750}{15} = 50 \: \rm ml[/tex]

(in the second step we used fractions to get the simple form of ratio and because of that, there is equality sign in both ratio's simplified form).

Thus, the amount of the hair color needed ( in ml ) to the amount of developer used (75 ml) for this case is 50 ml

Learn more about ratio and proportion here:

https://brainly.com/question/13513438