£400 is dividend between Ann, Brain and Carol so that Ann has twice as much asBrian , and Brian has three times as much as carol. How much does Brian receive?
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£400 is shared.
Let money of Ann be: x
Let money of Brian be: y
Let money of Carol be: z
So,
x=2y
y=3z(z=y/3)
Now,
Use y in places of x and z,
=>2y+y+y/3=£400
=>3y+y/3=£400
=>9y+y=400x3=1200
=>10y=1200
∴y=120,,
Now sub y=120 in x=2y and z=y/3,
so,
∴x=2(120)=240,, &
∴z=y/3=120/3=40,,
∴Ann has £240,Brain has £120 and Carol has £40.
Let money of Ann be: x
Let money of Brian be: y
Let money of Carol be: z
So,
x=2y
y=3z(z=y/3)
Now,
Use y in places of x and z,
=>2y+y+y/3=£400
=>3y+y/3=£400
=>9y+y=400x3=1200
=>10y=1200
∴y=120,,
Now sub y=120 in x=2y and z=y/3,
so,
∴x=2(120)=240,, &
∴z=y/3=120/3=40,,
∴Ann has £240,Brain has £120 and Carol has £40.
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