SOLUTION: mint candies normally cost 75 pesos per kilogram(p/kg), are mixed with coffee candies which normally cost 80 p/kg to form a mixture of candies that cost 78 p/kg. if there are 10

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Question 742077: mint candies normally cost 75 pesos per kilogram(p/kg),
are mixed with coffee candies which normally cost 80 p/kg to form a mixture of candies that cost 78 p/kg.
if there are 10 kg of the mixture, how many kg of mint candies were used?

Answer by josgarithmetic(39621)   (Show Source): You can put this solution on YOUR website!
m for the kilograms of mint candies
c for the kilograms of coffee candies
M for amount of mixture, 10 kg.
L = 75 pesos per kg, for the mint candies
H = 80 pesos per kg, for the coffee candies
T = 78 pesos per kg, TARGET price of the mixture
QUESTION: How many kg. of mint were used? (Find m).

EQUATIONS:
and
Solve the system for m, entirely in given values as a formula which does not distinctly show c. Suggested method could be to solve for c in the M equation and substitute this formula into the rational equation and solve the rational equation for m.

Use this resulting formula for m and substitute the given values to compute or evaluate m.

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