A certain shipment of identical cans of soup can be packed either into cartons that hold 15 cans each or into cartons

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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: Princeton Review