SOLUTION: Graham and Michael share £35 in the ratio 5 : 2. Work out the amount of money that Graham gets.

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Question 918163: Graham and Michael share £35 in the ratio 5 : 2.
Work out the amount of money that Graham gets.

Found 2 solutions by ewatrrr, josmiceli:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
Graham and Michael share £35 in the ratio 5 : 2
Let x represent the constant of proportionality
5x + 2x = £35
7x = 35
x = 5
Graham gets £25

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = amount Graham gets
Let = amount Michael gets
----------------
(1)
(2)
-------------------
(2)
By substitution:
(1)
(1)
(1)
(1)
and, since
(2)
(2)
(2)
Graham gets 25
Michael gets 10

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