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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