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12 apples weigh 2 kg 500 g. How many app...

12 apples weigh 2 kg 500 g. How many apples will weigh 15 kg?

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To solve the problem step by step, we will use the unitary method to find out how many apples will weigh 15 kg, given that 12 apples weigh 2 kg 500 g. ### Step 1: Convert the weight of apples into kilograms First, we need to convert 2 kg 500 g into kilograms. - **Conversion**: - 500 g = 0.5 kg - Therefore, 2 kg 500 g = 2 kg + 0.5 kg = 2.5 kg. ### Step 2: Find the weight of one apple Next, we will find the weight of one apple by dividing the total weight of the apples by the number of apples. - **Calculation**: - Weight of 1 apple = Total weight of apples / Number of apples - Weight of 1 apple = 2.5 kg / 12 = 0.2083 kg (approximately). ### Step 3: Set up the equation to find the number of apples that weigh 15 kg Now, we need to determine how many apples weigh 15 kg. We can use the weight of one apple to find this. - **Equation**: - Number of apples = Total weight desired / Weight of one apple - Number of apples = 15 kg / (2.5 kg / 12). ### Step 4: Simplify the equation We can simplify the equation to find the number of apples. - **Calculation**: - Number of apples = 15 kg * (12 / 2.5 kg) - Number of apples = (15 * 12) / 2.5 - Number of apples = 180 / 2.5. ### Step 5: Final calculation Now we will perform the final calculation to find the number of apples. - **Calculation**: - 180 / 2.5 = 180 * (10 / 25) = 1800 / 25 = 72. ### Final Answer Therefore, the number of apples that will weigh 15 kg is **72 apples**. ---
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