SOLUTION: a box contains orange, purple and black marbles. Of the total, 1/3 are orange, 1/5 are purple and the remaining 77 marbles are black. How many marbles are in the box?

Question 592566: a box contains orange, purple and black marbles. Of the total, 1/3 are orange, 1/5 are purple and the remaining 77 marbles are black. How many marbles are in the box?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
a box contains orange, purple and black marbles. Of the total, 1/3 are orange, 1/5 are purple and the remaining 77 marbles are black. How many marbles are in the box?
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Let total # of marbles be "x":
Equation:
(1/3)x + (1/5)x + 77 = x
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(8/15)x + 77 = x
(7/15)x = 77
x = 11*15
x = 165 (total # of marbles)
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Cheers,
Stan H.
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