SOLUTION: 3/5 of the balls in a basket are white, 1/3 of them are orange and the rest are purple. there are 176 more white balls than purple balls. how many balls are there in the basket alt

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: 3/5 of the balls in a basket are white, 1/3 of them are orange and the rest are purple. there are 176 more white balls than purple balls. how many balls are there in the basket alt      Log On


   

Question 1058254: 3/5 of the balls in a basket are white, 1/3 of them are orange and the rest are purple. there are 176 more white balls than purple balls. how many balls are there in the basket altogether?
many thanks

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3/5 of the balls in a basket are white, 1/3 of them are orange and the rest are purple. there are 176 more white balls than purple balls. how many balls are there in the basket altogether?
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Let "x" be the number in the basket.
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white:: (3/5)x
orange: (1/3)x
white = purple + 176
purple:: (3/5)x-176
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Equation:
white + orange + purple = x
(3/5)x + (1/3)x + (3/5)x - 176 = x
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(1/3)x + (6/5)x = x + 176
5x + 18x = 15x + 15*176
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8x = 15*176
x = 15*22
x = 330 (# in the basket
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Cheers,
Stan H.
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