Answer:
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
