A sum of money is to be divided among three girls, Anna, Barbara and Chrissy in the ratio 5 : 3 : 2. If Barbara received $400 less than Anna, calculate the amount of money each girl received.

Anna received $1000

Barbara received $600

Chrissy received $400

Step-by-step explanation:

Let us solve the problem

∵ The ratio of Anna, Barbara, and Chrissy is 5: 3: 2

∵ Barbara received $400 less than Anna

→ That means Anna - Barbara is 400, find the difference between their ratio

∵ The difference between their ratio = 5 - 3 = 2  

→ By using the ratio method

→  Anna  :  Barbara  : difference

→  5        :  3              :  2

→  A        :  B             :  400

→ By using the cross multiplication

∵ A × 2 = 5 × 400

∴ 2A = 2000

→ Divide both sides by 2

∴ A = 1000

∴ Anna received $1000

∵  B × 2 = 3 × 400

∴ 2B = 1200

→ Divide both sides by 2

∴ B = 600

∴ Barbara received $600

Let us use the ratio between Anna and Chrissy to find the amount of Chrissy

→  Anna  :  Chrissy

→  5        :   2

→  1000  :   C

→ By using cross multiplication

∵ 5 × C = 2 × 1000

∴ 5C = 2000

→ Divide both sides by 5

∴ C = 400

∴ Chrissy received $400

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180