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Answer :
A machine packs 180 boxes of cereal in a half-hour. It will take approximately 55 minutes to pack 330 boxes of cereal using the same machine.
To determine how long it would take to pack 330 boxes of cereal, we can use the concept of proportionality. We know that the machine packs 180 boxes in a half-hour, so we can set up a proportion to find the time it would take to pack 330 boxes.
Let's denote the time it takes to pack 330 boxes as "x" minutes. The proportion can be set up as follows:
180 boxes / 30 minutes = 330 boxes / x minutes
To solve for x, we can cross-multiply and then divide: 180 * x = 30 * 330
180x = 9900
x = 9900 / 180
x ≈ 55
Therefore, it would take approximately 55 minutes to pack 330 boxes of cereal using the same machine.
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