If 8kg of coffee costing $2000 a kg is mixed with 12kg of another kind of coffee costing $2200. What is the cost of the mixture per kg
2000$ + 2200$ = 4200$
4200$/20$ = 210$
Sarim's solution above makes absolutely no sense
consider this one:
http://www.jiskha.com/display.cgi?id=1462219074
To find the cost of the mixture per kg, we need to calculate the total cost of the mixture and then divide it by the total weight of the mixture.
Let's calculate the total cost of each type of coffee first:
Type A coffee (8kg) costing $2000/kg:
Total cost of Type A coffee = 8kg * $2000/kg = $16000
Type B coffee (12kg) costing $2200/kg:
Total cost of Type B coffee = 12kg * $2200/kg = $26400
Now, let's find the total weight of the mixture:
Total weight of the mixture = Type A coffee (8kg) + Type B coffee (12kg) = 20kg
Finally, we can calculate the cost of the mixture per kg:
Cost of the mixture per kg = (Total cost of Type A coffee + Total cost of Type B coffee) / Total weight of the mixture
= ($16000 + $26400) / 20kg
= $42400 / 20kg
= $2120/kg
Therefore, the cost of the mixture per kg is $2120/kg.
To find the cost of the mixture per kg, we need to calculate the total cost of the mixture (sum of the costs of both types of coffee) and then divide it by the total weight of the mixture.
1. Calculate the total cost of the first type of coffee:
8 kg * $2000/kg = $16000
2. Calculate the total cost of the second type of coffee:
12 kg * $2200/kg = $26400
3. Add the costs of both types of coffee to find the total cost of the mixture:
$16000 + $26400 = $42400
4. Calculate the total weight of the mixture:
8 kg + 12 kg = 20 kg
5. Finally, divide the total cost of the mixture by the total weight of the mixture:
$42400 / 20 kg = $2120/kg
Therefore, the cost of the mixture per kg is $2120.