SOLUTION: At a local "Paint Swap", Carl found large supplies of "Valentine Pink" (12.5% red pigment) and "Macintosh Red" (20.0% Red pigment). How many gallons of each color should Carl buy i

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Question 712824: At a local "Paint Swap", Carl found large supplies of "Valentine Pink" (12.5% red pigment) and "Macintosh Red" (20.0% Red pigment). How many gallons of each color should Carl buy in order to mix 10 gallons of "Summer Rose" (17% Red pigment)? This paint will be used to paint the new "Girl's Club" buliding.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Directly using the values given,

v for gallons of Valentine Pink, m gallons of MacIntosh Red
%2812.5v%2B20m%29%2F10=17 and v%2Bm=10

12.5v+20m=170
v+m=10

OR

2.5v%2B4m=34
v%2Bm=10
Which may be a easier system form to use.
Solve the system for v and m.