National Occupational Competency Testing Institute (NOCTI) Cosmetology Practice Exam

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In a typical tint formula using hair color shades, if 1-1/2 oz. of shade A is used, how much of shade B should be used if the ratio is 3 parts A to 1 part B?

  1. 1 oz

  2. 1/2 oz

  3. 2 oz

  4. 3 oz

The correct answer is: 1/2 oz

In a tint formula where the ratio of shade A to shade B is 3:1, this means for every 3 parts of shade A, there is 1 part of shade B. Given that 1-1/2 oz. of shade A is used, we can determine the amount of shade B required by first expressing 1-1/2 oz. of shade A in terms of a single part. The total parts in this ratio are 3 parts of A plus 1 part of B, making 4 total parts. If 1-1/2 oz. represents the 3 parts of shade A, we can find the size of a single part by dividing 1-1/2 oz. by 3. Calculating this, we have: 1-1/2 oz. = 1.5 oz. 1.5 oz. รท 3 = 0.5 oz. (this is the value of 1 part) Since shade B represents 1 part in the ratio, the amount of shade B needed will be equal to 0.5 oz. Therefore, when using 1-1/2 oz. of shade A in a 3 to 1 ratio

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