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A merchant can place 8 large boxes or 10 small boxes into a carton for shipping. In one shipment, he sent a total of 96 boxes. If there are more large boxes than small boxes, how many cartons did he ship?
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Answer:
If we take into account that Merchant shipped both large as well as small boxes in the cartons.
If a total of 96 boxes are shipped then the large boxes in the cartons must be a multiple of 8 which means either 16 or 56 large boxes are there.
But according to the question that there are more large boxes in the cartons then the small ones, so the number of large boxes must be 56.
And therefore the number of small boxes are reduced to 96 - 56 = 40
So the total number of cartons shipped are:
56/8 + 40/10 = 7 + 4 = 11
The second condition can be the merchant shipped all the large boxes in the cartons making the cartons to be 96/8 = 12 cartons.
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