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If each gift cost $200 the buy 3 get 1 free it would cost you $600 and the coupon deal would cost you $640 so I would get the buy 3 get 1 free deal

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1 free gift deal

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That is what I prefer because if each gift was 10 dollars, with my option, you pay only 30 dollars. With the other option, you pay 32 dollars.

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Are we still buying three for the 20% off?

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Are we still buying three for the 20% off?

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I would get one free because if I wanted 3 bags that each cost $40.00 times 3= 120.00

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You pay 3 dollars or 80 cents if it is 1 dollar. 4 dollars of 20% is 

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You pay 3 dollars or 80 cents if it is 1 dollar. 4 dollars of 20% is 

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Imagine each gift cost  10dollars.
If you pay for 3 and get 1 free you pay 30 dollars.

If you get 20% off you would be paying 40 dollars minus 20%. 20% of 40 is 8 dollars

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20% off, because when you buy more, 20% off or 1/5 of your purchases is gonna be more than just 1 free when you buy more. For example, if you buy 6 gifts and get another one for free. Pretend each gift is $1. Then it would be $6. On the other hand, 20% off of $7 is $5.60. And when you buy even more gifts the benefits are multiplied.

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20% off, because when you buy more, 20% off or 1/5 of your purchases is gonna be more than just 1 free when you buy more. For example, if you buy 6 gifts and get another one for free. Pretend each gift is $1. Then it would be $6. On the other hand, 20% off of $7 is $5.60. And when you buy even more gifts the benefits are multiplied.

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It would depend on the price, and what you were buying. If they are expensive gifts. For example, if all the gifts cost 4 gifts cost $387 but you need to find the amount of the fourth because of your receipt.

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if it is

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I would rather have a free gift. I would pick this because, if the gifts are $60 the 4 gifts would be $240, but with the free one it would be $180. But, the 20% off deal would be $240 times .20 which is $192.

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If the gifts have to be the same amount of money or the percentage of three gifts from the total amount is less than 80%, I would buy 3 gifts and get one free. If all the gifts were the same amount, one gift would be 25% of the total amount and 25% is more than 20% off. If the 3 gifts/the total is less than 80%, the amount you get off is more than 20%.

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Whichever option you choose, justify your reasoning with mathematics.