Divide 150 into two parts so that one fourth of one is equal to one third of the other?
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let x is be one part and y be the other part.
one-fourth of one is equal to one-third of other....
(1/4)*x = (1/3)*y
x = (4/3)*y -------(1)
sum of two parts is 150...
x + y = 150 --------(2)
substitute (1) in (2) ;
(4/3)*y + y = 150
(7/3)y = 150
y = 150*3/7 = 450/7
put y = 450/7 in (2) ;
x + (450/7) = 150
x = 150 - (450/7) = (1050 - 450)/7 = 600/7
x = 600/7 ; y = 450/7 ;
Hope this helps you....
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