5kg of ginger costing N24 per kg, is diluted with 10kg of garlic costing N18 per kg.
Find the cost of the mixture per kg.?
cost of the ginger = 5(24) or N120
cost of garlic = 10(18) = N180
total cost = N(180+120) = ....
total weight = ... kg
Cost of the mixture per kg = total cost / total weight = ..... N/kg
The answer is N20
To find the cost of the mixture per kg, we need to calculate the total cost of the ginger and garlic and then divide it by the total weight of the mixture.
The cost of 5kg of ginger at N24 per kg is:
Cost of ginger = 5kg * N24/kg = N120
The cost of 10kg of garlic at N18 per kg is:
Cost of garlic = 10kg * N18/kg = N180
The total cost of the mixture is the sum of the cost of ginger and garlic:
Total cost = Cost of ginger + Cost of garlic
Total cost = N120 + N180 = N300
The total weight of the mixture is the sum of the weight of ginger and garlic:
Total weight = Weight of ginger + Weight of garlic
Total weight = 5kg + 10kg = 15kg
Finally, we divide the total cost by the total weight to find the cost of the mixture per kg:
Cost of mixture per kg = Total cost / Total weight
Cost of mixture per kg = N300 / 15kg = N20/kg
Therefore, the cost of the mixture per kg is N20/kg.
To find the cost of the mixture per kilogram, we need to calculate the total cost of ginger and garlic and then divide it by the total weight of the mixture.
The cost of the ginger is 5kg × N24/kg = N120.
The cost of the garlic is 10kg × N18/kg = N180.
The total cost of the mixture is N120 + N180 = N300.
The total weight of the mixture is 5kg (ginger) + 10kg (garlic) = 15kg.
Therefore, the cost of the mixture per kilogram is N300 ÷ 15kg = N20/kg.