math word problem
posted by joe on .
lexi and maria had $250.oo altogether. After lexi spent 2/5 of her money and Maria spent $40.00 they had the same amount of money left.How much money did lexi have in the beginning?

let Lexi have $ x
then Maria has $ (250x)
(3/5)x = (250x)  40
3x/5 = 210  x
times 5
3x = 1050  5x
8x = 1050
x = 131.25
Lexi had $131.25
check:
Maria had 118.75
Lexi spend (2/5) of 131.25, leaving him with (3/5)(131.25) or 78.75
Maria spend $40 of her 118.75 leaving her with 78.75
All is good! 
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