A certain shipment of identical cans of soup can be packed

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A certain shipment of identical cans of soup can be packed either into cartons that hold 15 cans each or into cartons that hold 25 cans each. If all cartons will be completely filled regardless of the size chosen, how many of the larger cartons would be needed to for the entire shipment?

1) Forty fewer cartons would be needed if the shipment were packed in the larger cartons than if it were packed in the smaller cartons.
2) If the cans were packed into the smaller cartons, 100 cartons would be needed.

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Source: — Data Sufficiency |

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by swerve » Tue Apr 23, 2019 10:30 am

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Statement 1: If \(x\) number of smaller cans fill the shipment then \(x-40\) larger cans fill the entire shipment.

Therefore \(15*x = 25 ( x-40 )\) will give us the answer.

Statement 2: Number of smaller cans is given as \(100\) there total cans required would be \(15*100 = 1500\)

How many larger cans would be required to ship \(1500\) soups? \(\frac{1500}{25}\) would give us the answer.

Therefore, __D__