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Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least- a)5 b)103 c)3 d)6?
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Of 128 boxes of oranges, each box contains at least 120 and at most 14...
Problem:

Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least:

Solution:

To find the minimum number of boxes containing the same number of oranges, we need to find the maximum number of oranges in each box.

Given that each box contains at most 144 oranges, we can divide 128 by 144 to find the maximum number of boxes that can contain the same number of oranges.

Let's calculate this:

Number of boxes = Total oranges / Maximum oranges per box
Number of boxes = 128 / 144
Number of boxes = 0.8889

Since we cannot have a fraction of a box, we round down to the nearest whole number to find the minimum number of boxes containing the same number of oranges.

Minimum number of boxes = floor(0.8889)
Minimum number of boxes = 0

Therefore, the minimum number of boxes containing the same number of oranges is 0.

Explanation:

- To find the minimum number of boxes containing the same number of oranges, we need to find the maximum number of oranges in each box.
- Given that each box contains at most 144 oranges, we can divide 128 by 144 to find the maximum number of boxes that can contain the same number of oranges.
- Number of boxes = Total oranges / Maximum oranges per box
- Number of boxes = 128 / 144
- Number of boxes = 0.8889
- Since we cannot have a fraction of a box, we round down to the nearest whole number to find the minimum number of boxes containing the same number of oranges.
- Minimum number of boxes = floor(0.8889)
- Minimum number of boxes = 0
- Therefore, the minimum number of boxes containing the same number of oranges is 0.

Answer:

The number of boxes containing the same number of oranges is at least 0. Therefore, the correct option is (a) 0.
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Of 128 boxes of oranges, each box contains at least 120 and at most 144 oranges. The number of boxes containing the same number of oranges is at least- a)5 b)103 c)3 d)6?
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