Final answer:
The problem is a mathematical system of equations where 'x' represents the original daily number of seeds planned to plant, and 'd' represents the total number of planting days. By setting up and solving the equations, we can determine the original and adjusted number of seeds planted each day.
Step-by-step explanation:
The question involves calculating the number of seeds planted each day by a farmer, who had a plan to plant 120 seeds in total and finished planting 2 days early, planting 10 more seeds each day than originally planned. To solve for the number of seeds planted each day, we can let 'x' represent the original number of seeds planned to be planted daily. Since the farmer finished 2 days early, the total days of planting will be 'total days planned - 2'. The equation representing this scenario is:
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- Original plan: (x seeds/day) × (total days planned) = 120 seeds
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- Adjusted plan: (x + 10 seeds/day) × (total days planned - 2) = 120 seeds
To find the value of 'x', we need to set up and solve a system of equations. Since the total number of days planned isn't given, we can assume 'd' to represent the number of days:
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- x × d = 120
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- (x + 10) × (d - 2) = 120
We then solve for 'x' and 'd' by substituting 'd' from the first equation into the second equation or by any other solving method suiting systems of equations. Through solving, we arrive at the number of seeds planted each day on the adjusted schedule and can deduce the original daily planting plan.