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4i) A tarmer placed an order for \( 127 / 10 \) tons of fertilizer. He calculates that the com felds will regulre \( 61 / 10 \) tons of it. How much fertilirer will the farmer have left for his other crops? (1)) Write your answer as a fraction or as a whole or mived number. (i) Subant

Ask by Turnbull Rogers. in the United States
Mar 10,2025

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Answer

The farmer will have \( \frac{33}{5} \) tons or \( 6\frac{3}{5} \) tons of fertilizer left for his other crops.

Solution

1. Write down the amounts: - Total fertilizer: \( \frac{127}{10} \) tons - Reserved fertilizer: \( \frac{61}{10} \) tons 2. Subtract the reserved amount from the total: \[ \frac{127}{10} - \frac{61}{10} = \frac{127 - 61}{10} \] 3. Perform the subtraction in the numerator: \[ 127 - 61 = 66 \] So, \[ \frac{66}{10} \] 4. Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 2: \[ \frac{66 \div 2}{10 \div 2} = \frac{33}{5} \] 5. As a mixed number, \[ \frac{33}{5} = 6\frac{3}{5} \] The farmer will have \( \frac{33}{5} \) tons, or \( 6\frac{3}{5} \) tons, of fertilizer left for his other crops.

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To find out how much fertilizer the farmer will have left, you need to subtract the amount required for the corn fields from the total ordered. The total amount of fertilizer ordered is \( \frac{127}{10} \) tons, and the amount needed for the corn fields is \( \frac{61}{10} \) tons. Now, perform the subtraction: \[ \frac{127}{10} - \frac{61}{10} = \frac{127 - 61}{10} = \frac{66}{10} \] This can be simplified to: \[ \frac{66}{10} = \frac{33}{5} = 6 \frac{3}{5} \] So, the farmer will have \( 6 \frac{3}{5} \) tons of fertilizer left for his other crops. --- Did you know that the use of fertilizers has a long history, dating back to ancient civilizations that utilized organic materials? The Sumerians, for instance, applied animal dung and crop residues to enhance soil productivity, laying the groundwork for modern agricultural practices! In today's farming world, understanding nutrient management techniques can save costs and improve yields. Farmers often engage in soil testing to determine the specific nutrient needs of their crops. Using precision agriculture technology, they can apply the right amount of fertilizer at the right time, minimizing waste and maximizing efficiency!

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