5kg of ginger costing naria 24 per kg is diluted with 10kg of garlic costing naria 18 per kg. Find the cost of the mixture per kg
To find the cost of the mixture per kg, we need to first find the total weight of the mixture and then divide the total cost by the total weight.
The weight of the ginger = 5kg
The weight of the garlic = 10kg
Total weight of the mixture = 5kg + 10kg = 15kg
The cost of the ginger per kg = 24 naria per kg
The cost of the garlic per kg = 18 naria per kg
Total cost of the ginger = 5kg * 24 naria per kg = 120 naria
Total cost of the garlic = 10kg * 18 naria per kg = 180 naria
Total cost of the mixture = 120 naria + 180 naria = 300 naria
Cost of the mixture per kg = Total cost of the mixture / Total weight of the mixture
= 300 naria / 15kg
= 20 naria per kg
Therefore, the cost of the mixture per kg is 20 naria per kg.
To find the cost of the mixture per kg, we need to calculate the total cost of the ginger and the garlic, and then divide it by the total weight of the mixture.
Given:
Weight of ginger = 5 kg
Cost of ginger per kg = ₦24
Weight of garlic = 10 kg
Cost of garlic per kg = ₦18
Total weight of mixture = Weight of ginger + Weight of garlic = 5 kg + 10 kg = 15 kg
Total cost of ginger = Weight of ginger x Cost of ginger per kg = 5 kg x ₦24/kg = ₦120
Total cost of garlic = Weight of garlic x Cost of garlic per kg = 10 kg x ₦18/kg = ₦180
Total cost of the mixture = Total cost of ginger + Total cost of garlic = ₦120 + ₦180 = ₦300
Cost of the mixture per kg = Total cost of the mixture / Total weight of the mixture = ₦300 / 15 kg = ₦20/kg
Therefore, the cost of the mixture per kg is ₦20/kg.
To find the cost of the mixture per kilogram, we need to consider the total cost of the ginger and the total cost of the garlic, then divide it by the total weight of the mixture.
1. Calculate the total cost of the ginger:
The ginger weighs 5kg and costs 24 Naira per kg.
Total cost of ginger = 5kg * 24 Naira/kg = 120 Naira.
2. Calculate the total cost of the garlic:
The garlic weighs 10kg and costs 18 Naira per kg.
Total cost of garlic = 10kg * 18 Naira/kg = 180 Naira.
3. Calculate the total weight of the mixture:
The mixture consists of both ginger and garlic, with respective weights of 5kg and 10kg.
Total weight of the mixture = 5kg + 10kg = 15kg.
4. Calculate the cost of the mixture per kg:
The total cost of the mixture is the sum of the cost of ginger and the cost of garlic, which is 120 Naira + 180 Naira = 300 Naira.
Divide the total cost of the mixture by the total weight of the mixture to find the cost per kg:
Cost of the mixture per kg = 300 Naira / 15kg = 20 Naira/kg.
Therefore, the cost of the mixture per kilogram is 20 Naira.