Final answer:
To find the fraction of Alfredo's crop that has gone to market, calculate the remaining fraction after each shipment. To find the original weight of the crop, use the equation (1/5)x = 860 kg and solve for x.
Step-by-step explanation:
To calculate the fraction of Alfredo's crop that has gone to market, we need to first find the remaining fraction after the first shipment. His remaining crop after the first shipment is 1 - 2/5 = 3/5. Then we need to find the remaining fraction after the second shipment. The fraction remaining after the second shipment is (3/5) - (2/3)(3/5) = (3/5) - (6/15) = (3/5) - (2/5) = 1/5. So, the fraction of his crop that has now gone to market is 1 - 1/5 = 4/5.
To calculate the original weight of the crop, we can use the information that 1/5 of the crop is equal to 860 kg. Let's represent the original weight as x kg. Therefore, (1/5)x = 860 kg. To find x, we need to solve for x by multiplying both sides of the equation by 5: x = 5 * 860 kg = 4300 kg. So, the original weight of the crop was 4300 kg.