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

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) (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?
---------------------
Let "x" be the number in the basket.
-----
white:: (3/5)x
orange: (1/3)x
white = purple + 176
purple:: (3/5)x-176
----------------------
Equation:
white + orange + purple = x
(3/5)x + (1/3)x + (3/5)x - 176 = x
------
(1/3)x + (6/5)x = x + 176
5x + 18x = 15x + 15*176
----------------
8x = 15*176
x = 15*22
x = 330 (# in the basket
-------------------------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
A box contains 3 orange balls, 3 yellow balls, and 2 white balls. Three balls are... (answered by ikleyn)

A box contains 3 orange balls 3 yellow balls and 2 white balls. Three balls are selected... (answered by math_helper,greenestamps)

An urn contains 40 balls. Some are red balls and the rest are white balls. If the... (answered by Shin123)

There are 3 red and 4 white balls in box four balls are selected at random with... (answered by Fombitz)

A lot of machine contains balls of four different colors. 1/3 of the balls are black, 2/9 (answered by fractalier)

There are 40% more black balls than white balls what is the ratio of black to white... (answered by robertb)

1) A bag contain 8 red balls and 5 white balls, 2 successive drawing of 3 balls are made (answered by greenestamps)

there are 3 red and 4white balls in box four balls are selected with replacement from the (answered by mathmate)

There are 3 red,4 white,5 purple & 6 blue balls inside the box.If I want to have 4 balls... (answered by edjones)