Question
6. Challenge question! A hairdresser mixes a total of 36 ml of colour. He uses twice as much copper colour as base colour. Which colour mix is correct?
Answer
4.7
(323 Votes)
Charles
Professional · Tutor for 6 years
Answer
12 ml base color, 24 ml copper color.
Explanation
We understand from the problem that the total amount of color used by the hairdresser is 36 ml. This amount is a mix of base color and copper color. We also know that the hairdresser uses twice as much copper color as base color. Within this relationship, we can set up the following equation:
. From the statement the hairdresser uses twice as much copper color as base color, we understand that the amount of copper color used is equal to
. Substituting this expression into our original equation we get
, this simplifies to
. By dividing both sides by 3, we find the quantity of base color used is
. As we know copper color used is twice as much as base, we calculate the amount of copper color to be
.