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# Maths problem solving?

Five brothers, Abe, Brian, Cal, Doug, and Edwin, bought a car for $42,000. Abe paid one third of the sum of the amounts paid by the other brothers. Brian paid one quarter of the sum of the amounts paid by the other brothers. Cal paid one fifth of the sum of the amounts paid by the other brothers. Doug paid one sixth of the sum of the amounts paid by the other brothers. How much did Edwin pay?

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- TomVLv 77 months agoFavorite Answer
Given: A + B + C + D + E = 42000

A = 42000 - (B+C+D+E)

= 42000 - 3A

4A = 42000

A = 42000/4

B = 42000 - (A+C+D+E)

= 42000 - 4B

5B = 42000

B = 42000/5

Similarly

C = 42000/6

D = 42000/7

E = 42000(1 - 1/7 - 1/6 - 1/5 - 1/4)

= 42000(840 - 120 - 140 - 168 - 210)/840

= 42000(202/840)

= 10100

Ans: Edwin paid $10100

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