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How many times will you need to fill a 2-ton fertilizer cart if you are applying 40 lbs of monoammonium phosphate per acre to a 120-acre field?

  1. 1 time

  2. 2 times

  3. 3 times

  4. 4 times

The correct answer is: 2 times

To determine how many times you need to fill a 2-ton fertilizer cart when applying 40 pounds of monoammonium phosphate per acre to a 120-acre field, it's important to start by calculating the total amount of fertilizer needed for the entire field. First, calculate the total amount of monoammonium phosphate required: - The application rate is 40 pounds per acre. - The field size is 120 acres. Total fertilizer needed = 40 lbs/acre × 120 acres = 4800 lbs. Next, convert the total requirement into tons since the cart capacity is measured in tons: - There are 2000 pounds in a ton. To find out how many tons are needed: Total fertilizer needed in tons = 4800 lbs ÷ 2000 lbs/ton = 2.4 tons. Now, since the cart can hold 2 tons, you need to consider how many cart fills are necessary to apply 2.4 tons. Filling the cart once provides 2 tons, and you will need an additional 0.4 tons to reach the total required. However, once the cart is emptied, it cannot be filled to a fraction of its capacity for the second trip. Therefore, after the first