# Three men named John James and Chris shared 500 in de ratio of 3:2:? Respectively if John share is 150 find ?

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1. John´s part = 150

Mark James part as J

Ratio is:

3 : 2 : x

John´s part / James part = 150 / J = 3 / 2

150 / J = 3 / 2

Multiply both sides by J

150 = 3 J / 2

Multiply both sides by 2

300 = 3 J

3 J = 300

J = 300 / 3

J = 100

James part = 100

Mark Chris part as C

Chriss part = 500 - ( John´s part + James part )

C = 500 - ( 150 + J ) = 500 - ( 150 + 100 ) = 500 - 250 = 250

Chris part = 250

Ratio is:

3 : 2 : x

John´s part / Chris part = 3 / x = 150 / 250 = 50 ∙ 3 / 50 ∙ 5 = 3 / 5

3 / x = 3 / 5

x = 5

OR

James part / Chris part = 2 / x = 2 / 5

2 / x = 2 / 5

x = 5

Three men shared 500 in the ratio of 3:2:5

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2. John : James : Chris = 3:2:k = 3x:2x:kx
given: 3x = 150
x = 50

also 3x + 2x + kx = 500
x(3+2+k) = 500
50(5+k) = 500
5+k = 10
k = 5

the split up is
John : James : Chris = 3:2:k = 3x:2x:kx
= 150 : 100 : 250

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