6kgs of a dried fruit mixture which coat 300per kg and 1.5kgs of nuts costing $700 per kg are mixed together. What is the cost per kg of this mixture?
1 kg of this fruit costs 300 dollars?
Ithink question is wrong
I think the student means 300 Pakistani rupees.
1 Pakistani Rupee equals
0.0096 US Dollar
To find the cost per kilogram (kg) of the mixture, we need to determine the total cost of the dried fruit and nuts, and then divide it by the total weight of the mixture.
Let's calculate the cost of the dried fruit first:
6 kg of dried fruit mixture
Cost per kg of dried fruit = $300
Total cost of dried fruit = 6 kg * $300/kg
Total cost of dried fruit = $1800
Next, let's calculate the cost of the nuts:
1.5 kg of nuts
Cost per kg of nuts = $700
Total cost of nuts = 1.5 kg * $700/kg
Total cost of nuts = $1050
Now, let's calculate the total cost of the mixture:
Total cost of mixture = Total cost of dried fruit + Total cost of nuts
Total cost of mixture = $1800 + $1050
Total cost of mixture = $2850
Finally, let's calculate the cost per kg of the mixture:
Total weight of the mixture = Weight of dried fruit + Weight of nuts
Total weight of the mixture = 6 kg + 1.5 kg
Total weight of the mixture = 7.5 kg
Cost per kg of mixture = Total cost of mixture / Total weight of mixture
Cost per kg of mixture = $2850 / 7.5 kg
Cost per kg of mixture ≈ $380
Therefore, the cost per kg of this dried fruit and nuts mixture is approximately $380.