题目
Average cost of 5 apples and 4 mangoes is Rs. 36. The average cost of 7 apples and 8 mangoes is Rs. 48. Find the total cost of 24 apples and 24 mangoes.
解析
5个苹果和4个芒果的总成本 = \(36 × 9 = 324\)
7个苹果和8个芒果的总成本 = \(15 × 48 = 720\)
由此得到方程组:
\(5\text{苹果} + 4\text{芒果} = 324\)
\(7\text{苹果} + 8\text{芒果} = 720\)
将两个方程相加:
\(12\text{苹果} + 12\text{芒果} = 1044\)
两边同时乘以2:
\(2×(12\text{苹果} + 12\text{芒果}) = 1044 × 2\)
即 \(24\text{苹果} + 24\text{芒果} = 2088\)
正确答案是B。