Answer:
€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