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How many kilograms of coffee worth 40/kg must be mixed with coffee worth $11/kg to give 12kg of coffee worth $9.50/kg

User Alita
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1 Answer

22 votes
22 votes

Answer:

0.62kg

Explanation:

Let

x = 40/kg coffee

y = 11/kg coffee

two equations can be derived from the question

x + y = 12 equation 1

40x + 11y = 114 (9.5 x 12) equation 2

multiply equation 1 by 11

11x + 11y = 132 equation 3

subtract eqn 3 from eqn 2

29x = 18

divide both sides of the equation by 29

x = 0.62kg

User Log N
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