SOLUTION: help a coffee shop manager to find the amount of a certain type of coffee that sells for $5 per kilogram which should be mixed with the 30kgs of another type of coffee which sells
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Question 1199152: help a coffee shop manager to find the amount of a certain type of coffee that sells for $5 per kilogram which should be mixed with the 30kgs of another type of coffee which sells for $9 per kg in order to make a new flavor of coffee which she sells for $7 per kilogram
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
$5 per kg
30 kg of $9 per kg
resulting mixture $7 per kg
u kilograms of the $5 per kg coffee to use
------to account for cost;
Solve for u.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!
The setup for a formal algebraic solution....
(The cost of 30kg of coffee worth $9 per kg), plus (the cost of x kg of coffee worth $5 per kg), equals the cost of ((30+x) kg of coffee worth $7 per kg):
Solve using basic algebra....
A quick, informal, common sense solution....
The price per kg of the mixture is exactly halfway between the prices for the two kinds of coffee; that means the numbers of kg of the two kinds of coffee are the same.
ANSWER: 30kg
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