Posted by Jas on Tuesday, March 18, 2008 at 9:57am.
Fifty umbrellas were sold on a rainy April day. Five times as many
red as blue were sold, three times as many green as blue, nine more
black than blue, and seven fewer purple than black. Five umbrellas
were purple and six were white. How many of each color were sold?

math  msp, Tuesday, March 18, 2008 at 10:12am
Break it down according to what you know, then you will be able to figure it out. Here is what we know. A good base will be blue, since there is much based off of it.
x = blue
5x = red
3x = green
x + 9 = black
x + 2 = purple
6 = white
You know purple is 5, so figure out x, then you can do the rest.

math  Reiny, Tuesday, March 18, 2008 at 10:13am
Red = 5Blue
Green = 3Blue
Black = Blue + 9
Purple = Black  7
Purple = Blue + 9  7
Purple = Blue + 2
But Purple = 5
Blue + 2 = 5
Blue = 3
then Red = 15
Green = 9
Black = 11
Black = 4
Purple = 5
White = 6
check: 15+9+11+4+5+6 = 50

xcif drsapin  xcif drsapin, Sunday, February 1, 2009 at 7:40am
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math  Christine, Tuesday, April 7, 2015 at 11:14pm
UMBRELLAS
White = 6
Blue = x
Red = 5x
Green = 3x
Black = x + 9
Purple = x + 2
The equation...
6 + x + 5x + 3x + x + 9 + x + 2 = 50
We know that purple is 5 so...
x + 2 = 5
x = 5  2
x = 3
Now we know that x = 3.
This is the problem we started off with
6 + x + 5x + 3x + x + 9 + x + 2 = 50
now just plug in x...
6 + 3 + 5(3) + 3(3) + (3) + 9 + (3) + 2 = 50
6 + 3 + 15 + 9 + 12 + 5 = 50
50= 50
So this is correct
White = 6
Blue = 3
Red = 15
Green = 9
Black = 12
Purple = 5
There are 6 white, 3 blue, 15 red, 9 green, 12 black, and 5 purple umbrellas.
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