SOLUTION: A candy company mixes a 20% fat content chocolate with a 15% fat content chocolate to obtain 50 pounds of a 16% fat content chocolate. How many pounds of each type of chocolate sho

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Question 768935: A candy company mixes a 20% fat content chocolate with a 15% fat content chocolate to obtain 50 pounds of a 16% fat content chocolate. How many pounds of each type of chocolate should be used? ( write 2 equation s and solve this system of equations)
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
More generally, a candy company mixes v pounds of H% fat content chocolate with u pounds of L% fat content chocolate to obtain M pounds of a T% fat content chocolate. How many pounds of each type of chocolate should be used?

The equations to that system are:
highlight%28%28Lu%2BHv%29%2FM=T%29 and highlight%28u%2Bv=M%29

You could try this way,
Lu%2BHv=MT
Hv=MT-Lu
v=%28MT-Lu%29%2FH and substitute this into the mass sum equation.
u%2B%28MT-Lu%29%2FH=M
uH%2BMT-Lu=HM
uH-Lu%2BMT=HM
u%28H-L%29=HM-MT
u=%28HM-MT%29%2F%28H-L%29
highlight%28u=M%28H-T%29%2F%28H-L%29%29
...and you continue from there for getting v and later substituting values...