**Mathematics Used in Cosmetology**

**By:**

Jadeyn Votta

Jadeyn Votta

**Budgeting Continued...**

Math is applied when cosmetologists budget their time

**Supply & Demand**

Using data and plotting it on a graph, it is easy to determine what types of services are most popular. Also, the use of estimation can predict the number of people most likely to want different treatments or beauty products. Based on the previous months results, supply & demand can be used to increase the probability of making the most profit possible.

Organizing & Rationalizing

Rationalizing: If the shampoo for example runs out fast you have to rationalize whats left in order to last the rest of the month.

Cutting Hair

Uses Geometry

Angles-> Used when cutting & styling hair in particular cutting layers

Example- Cutting a bob requires cutting hair at a constant angle so its symmetrical on both sides

1. Division is used when sectioning the hair

2. Patterns are used because each row has to be perpendicular to the central part

3. Braiding must be evenly spaced and parallel to one another

4. Braids can mirror different shapes & designs such as spirals or honeycombs

**Braiding Hair**

Budgeting

Math is used when a salon budgets how much supplies are affordable

Example- If a salon accumulates $2500 every month and deductions such as a $50 dollar phone bill, $150 electric, $125 for water and $1000 in wages then $625 dollars is left to spend on products and other supplies

Example: A cosmetologist must calculate if they have enough time for both clients

Organizing: A shipment of lipsticks come in and they are combined together based on different shades of lipsticks together or all the same brand of lipsticks in one container.

Shapes-> Analyzing face shapes such as an oval or a square in order to pick a style that best compliment the client

Reflections-> Reflections are used so that both sides of hair mirror one another in length & style

What do you think is the average amount women spend on hair/beauty products every year?

Question!!

What is the percentage of women who have dyed their hair?

QUESTION TIME!

A. $920

B. $345

C. $780

D. $550

The Answer

Is...

$780!!

Math Used When

Dying Hair

Ratios-> Used when measuring color

Example- 2:3 is equivalent to 2 parts color and 3 parts developer being added

Conversion-> Changing back and forth between different metric units such as mL to L

Fractions-> Used when making a specific formula for a certain color combination

Example- mixing 1/4 oz. of blonde with 1/2 oz. of a brown color

A. 48%

B. 75%

C. 23%

D. 59%

And The

Answer Is...

75%!

**Makeup Application Uses Math!**

Although many people are unaware, mathematics is actually used every time foundation, eyeshadow, or even brow products are applied

Symmetry-> Is important to understand when applying makeup in order to have both sides of the face even Examples: applying eyeliner, blush, or eyebrows

Angles-> Used when drawing on eyebrows to create the arch of the brow

Shapes-> There are different eye shapes such as almond that are taken into consideration before applying eye makeup. Also, the shape of the face such as heart all have specific techniques where to apply blush for example to best compliment their facial structures

**Golden Ratio**

Example-> Golden Ratio focal points are attempted to be reached by slimming the face using bronzer for example or by the use of different eyeliner thickness to make eyes appear larger, smaller, or closer together

Physical Attraction deals with the features of a face falling within the 1.618 ratio. Through the use of different visual effects using makeup, the golden ratio is attempted to be achieved

Different Areas Where Math is Used...

Adding a client's final bill

Calculating what the sale price is from the regular price

Figuring out sales tax

Calculating wages based on commission/hourly pay

Determining how much to tip

Giving change back

Hairstyles Involve the Use of Shapes & Patterns!

Examples...