Question

Could someone please answer b?

Answer 1

Answer:

b. The total sum of the money was $330

Step-by-step explanation:

#b

∵ A sum of money is divided among John, Paul, and Robert

∵ The ratio of the shares of John, Paul, and Robert is 2: 4: 5

→ Multiply the ratio of each share by x

∴ The share of John = 2x

∴ The share of Paul = 4x

∴ The share of Robert = 5x

→ Find their sum

∴ The sum of the money = 2x + 4x + 5x = 11x

∵ The sum of the money is divided equally among them

→ That means dividing the sum by 3 to find the share of every one

∵ The sum of the money = 11x

∴ The share of every one = $\frac{11x}{3}$ = $\frac{11}{3}$x

∴ The share of John is larger by $50

→ That means the difference between his shares is 50

∵ $\frac{11}{3}$x - 2x = 50

∴ $\frac{5}{3}$x = 50

→ Divide both sides by $\frac{5}{3}$

∴ x = 30

→ Substitute it in the sum of the money to find it

∵ The sum of the money = 11(30)

∴ The sum of the money = $330

∴ The total sum of the money is $330