Asked by Rajin Muhtasim
£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
Answers
Answered by
Bosnian
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
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
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