Ms. winter makes homemade bath soaps and bottles of lotion. in her inventory, she has 48 bath soaps and 64 bottles of lotion. she wants to use all of her inventory to make ad many gift baskets as she can using the same number of bath soaps and the same number of lotion bottles in each gift basket. how many gifts baskets can she make at the most? how many lotion bottles and bath soaps will each basket contain?

Here, what we want to find is the lowest number of bottles / soaps while having the total inventory used. As we want the number of bottles and soaps to fit perfectly, we have to find a common divisor of 48 and 64. In addition, since we want the maximum number of baskets, we want to find the highest common divisor of the two numbers. Using a little guess and check, we can find 16 baskets as our answer. To have the same number of soaps and lotions in each, we have 48/16= 3 soaps per basket and 64/16=4 lotions per basket.
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