Homework Help: Mathematics

Posted by James on Sunday, January 15, 2012 at 9:30am.

A shopkeeper mixed coffee powder worth $2.50 per kg with coffee powder worth $3.50 per kg, and sold 20 kg of the mixture at $2.80 per kg. Find the weights of the 2 grades of coffee powder that he mixed together. Explain clearly your steps of solving it.

Mathematics - Reiny, Sunday, January 15, 2012 at 10:15am
Let the amount of the $2.50 coffee be x kg
then the amount of the $3.50 coffee will be 20-x kg

2.5x + 3.5(20-x) = 2.8(20) = 56
times 10
25x + 35x(20-x) = 560
25x + 700 - 35x = 560
-10x = -140
x = 14

He should mix 14 kg of the $2.50 and 6 kr of the $3.50 coffee.

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