Question

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 as many gift baskets as she can using the same number of bath soaps and the same number of lotion bottles in each gift basket.

Answer 1

There is a common factor in 48 and 64 that is 8.
8×?=48 would be how many bath soaps and 8×?=64 would be how many lotions.

Answer 2

Answer:

16 basket with 3 soaps and 4 lotions

Step-by-step explanation:

Ms. Winter has 48 soaps and 64 bottles of lotion.

She wants to use all of her inventory to make as many gift baskets as she can using the same number of bath soaps and the same number of lotion bottles in each gift basket.

So we will calculate the Greatest Common Factor of both the numbers.

GCF of 48, 64

Factors of 48 = 2, 3, 4, 6, 8, 12, 16, 24 and 48

Factors of 64 = 2, 4, 8, and 16

Common factors are 2, 4, 8, and 16

The greatest common factor  = 16

Therefore, she can make 16 gift baskets

The number of bath soaps in each basket = $\frac{48}{16}$

                                                                      = 3

The number of bottles of lotion in each basket = $\frac{64}{16}$

                                                                             = 4

She can make 16 gift basket, in each basket she can put 3 soaps and 4 bottle of lotion