Answer :
Final answer:
To achieve a 23% sand mixture, you need to add 1.5 m³ of soil with 20% sand to the existing soil.
Explanation:
To determine the amount of soil with 20% sand that needs to be added to 3 m³ of soil with 25% sand to achieve a 23% sand mixture, we can use the concept of weighted average. Let x represent the amount of soil with 20% sand that needs to be added. The equation is: (3 * 0.25) + (x * 0.20) = (3 + x) * 0.23.
Solving this equation, we find that x = 1.5 m³. Therefore, you need to add 1.5 m³ of soil with 20% sand to the existing soil to achieve the desired sand percentage.
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