Answer :
Final answer:
The weight of the tea variety costing Rs 234 per kg is 54 kg, and the weight of the tea variety costing Rs 130 per kg is 30 kg in a 84 kg mixture when blended in the ratio of their costs.
Explanation:
The student asked how to find the weights of two varieties of tea blended in the ratio of their costs when the total weight of the blend is 84 kg.
Since the teas cost Rs 234 and Rs 130 per kg respectively, we use the ratio of 234:130, which simplifies to 18:10 or 9:5.
The total number of parts in the ratio is 9 + 5 = 14 parts. If the total weight of the mixture is 84 kg, each part equals 84 kg ÷ 14 = 6 kg.
Therefore, the weight of the first variety (costing Rs 234 per kg) is 9 parts × 6 kg/part = 54 kg, and the weight of the second variety (costing Rs 130 per kg) is 5 parts × 6 kg/part = 30 kg.
