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inysia [295]
3 years ago
12

€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 ?
Mathematics
1 answer:
zheka24 [161]3 years ago
4 0

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

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