If the weight of 6 oranges is equal to 4 apples. Then weight of 12 ora...
Weight of 6 oranges = weight of 4 apples.
Weight of 6 × 2 = 12 oranges = weight of 4 × 2 = 8 apples.
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If the weight of 6 oranges is equal to 4 apples. Then weight of 12 ora...
Weight of 6 oranges = weight of 4 apples.
Weight of 6 × 2 = 12 oranges = weight of 4 × 2 = 8 apples.
If the weight of 6 oranges is equal to 4 apples. Then weight of 12 ora...
Explanation:
To solve this problem, we need to use the given information that the weight of 6 oranges is equal to the weight of 4 apples.
Let's assume that the weight of one orange is "x" units and the weight of one apple is "y" units.
Step 1: Calculate the weight of 1 orange in terms of apples
- Since the weight of 6 oranges is equal to the weight of 4 apples, we can set up a ratio: 6x : 4y.
- Simplifying this ratio, we get 3x : 2y. This means that the weight of 1 orange is 3x/2y.
Step 2: Calculate the weight of 12 oranges in terms of apples
- To find the weight of 12 oranges, we multiply the weight of 1 orange by 12: 12 * (3x/2y).
- Simplifying this expression, we get 36x/2y, which is equal to 18x/y.
Therefore, the weight of 12 oranges is equal to 18x/y.
Step 3: Determine the weight of 12 oranges in terms of apples
- Since we know that the weight of 1 orange is equal to 3x/2y, we can substitute this value into the expression we found in step 2.
- Substituting 3x/2y for x/y in 18x/y, we get 18 * (3x/2y).
- Simplifying this expression, we get 54x/2y, which is equal to 27x/y.
Therefore, the weight of 12 oranges is equal to 27x/y, which means it is equivalent to 27 apples.
Conclusion:
Based on the calculations above, we can conclude that the weight of 12 oranges is equal to 27 apples, which matches option 'C'.