Question 1065978: £400 is divided between Ann, Brian and Carol so that's Ann has twice as much as Brian and Brian has three times as much as Carol. How much does Brian receive?
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! this can be solved easily by substitution.
let a = money that ann gets.
let b = money that brian gets.
let c = money that carol gets.
you get a + b + c = 400
you are given that:
a = 2b
b = 3c
since a = 2b and b = 3c, this means that a = 2 * 3c = 6c
you get:
a = 6c
b = 3c
c = c
replace a and b with their equivalents in the equation of a + b + c = 400.
you get 6c + 3c + c = 400
combine like terms to get 10c = 400
solve for c to get c = 40
since b = 3c, this means that b = 120.
since a = 2b, this means that a = 240.
you have:
a = 240
b = 120
c = 40
a + b + c = 240 + 120 + 40 which is equal to 400.
solution looks good.
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