£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 receive

1 answer

a = Ann´s part

b = Brian´s part

c = Carol´s part

Ann has twice as much as Brian means:

a = 2 b

Brian has three times as much as Carol means:

b = 3 c

Put this value in equation:

a = 2 b

a = 2 ∙ 3 c

a = 6 c

Sum of Ann´s part , Brian´s part and Carol´s part is 400.

a + b + c = 400

6 c + 3 c + c = 400

10 c = 400

c = 400 / 10 = 40

Carol´s part = £ 40

b = 3 c

b = 3 ∙ 40 = 120

Brian´s part = £ 120

a = 2 b = 2 ∙ 120 = 240

or which is same

a = 6 c = 6 ∙ 40 = 240

Ann´s part = £ 240