SOLUTION: May I please have assistance on how to calculate this? Mary needed different colored balloons for decoration. She had $1.25 and spent it all on a number of white, red, and blue b

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Question 828411: May I please have assistance on how to calculate this?
Mary needed different colored balloons for decoration. She had $1.25 and
spent it all on a number of white, red, and blue balloons. A white balloon costs
$.10, a red one $.15 and a blue one $.05. She bought one white balloon less
than the red and the total number of white and red balloons equals the number
of blue ones. How many of each color did Mary buy?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Mary needed different colored balloons for decoration. She had $1.25 and
spent it all on a number of white, red, and blue balloons.
A white balloon costs $.10, a red one $.15 and a blue one $.05.
She bought one white balloon less than the red
and the total number of white and red balloons equals the number
of blue ones.
How many of each color did Mary buy?
-------
Equations:
Value Eq:: 10w + 15r + 5b = 125 cents
Quantity:: w - r + 0 = -1
Quantity:: w + r - b = 0
======================================
I used a matrix function on my calculator to get:
w = 3 (# of white)
r = 4 (# of red)
b = 7 (# of blue)
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Cheers,
Stan H.