€400 is divided between Ann, Brian and Carol so that Ann has twice as much as Brian and Brian has three times as much as Carol. How much does Brian receives ?

€120

Step-by-step explanation:

Let us represent

Ann = x

Brian = y

Carol = z

€400 is divided between Ann, Brian and Carol

Hence: x + y + z = €400 Equation 1

Ann has twice as much as Brian

Hence:

x = 2y

Brian has three times as much as Carol.

y = 3z

z = y/3

We substitute

x + y + z = €400 Equation 1

2y + y + y/3= €400

Multiply both sides by 3

2y × 3 + y × 3 + y/3 × 3 = €400 × 3

6y + 3y + y = €1200

10y = €1200

y = €1200/10

y = €120

How much does Brian receives ?

Since, Brian = y

Brian receives €120

c. 4 and 1/2 pounds is the answer! : )