Angela bought 50 kg of oranges consisting of Sagada and Perante.The cost per kilogram of Perante is twice as much as that of Sagada oranges.If she bought ₱1200 worth of Sagada oranges and ₱1600 worth of Perante oranges, how many kg of each variant did she buy?
Answer (1)
Answer:Let's denote the cost per kilogram of Sagada oranges as 'x'. Therefore, the cost per kilogram of Perante oranges is '2x'.Given that Angela bought ₱1200 worth of Sagada oranges, the weight of Sagada oranges purchased is ₱1200 / x. Similarly, for Perante oranges, with a total cost of ₱1600, the weight purchased is ₱1600 / 2x.The total weight of oranges bought is 50 kg, so:(₱1200 / x) + (₱1600 / 2x) = 50Multiply through by 2x to clear denominators:2x * (₱1200 / x) + 2x * (₱1600 / 2x) = 50 * 2xwhich simplifies to:2 * ₱1200 + ₱1600 = 100x2400 + 1600 = 100x4000 = 100xx = ₱40 per kg.Thus, the weight of Sagada oranges is ₱1200 / ₱40 = 30 kg.The weight of Perante oranges is ₱1600 / (2 * ₱40) = ₱1600 / ₱80 = 20 kg.Therefore, Angela bought 30 kg of Sagada oranges and 20 kg of Perante oranges.Step-by-step explanation:
