Final answer:
Toni can ship 48 hats in 4 boxes and 36 gloves in 3 boxes, totaling 7 boxes, by using the greatest common divisor (GCD) to determine the largest identical packing quantity.
Step-by-step explanation:
Toni is trying to ship 48 hats and 36 gloves in the largest number of identical boxes possible, with hats and gloves shipped separately.
The greatest common divisor (GCD) is determined to find the largest identical number of hats or gloves that can be packed in each box. The greatest common divisor for 48 and 36 is 12.
Therefore, Toni can ship 48 hats in 48/12 = 4 boxes and 36 gloves in 36/12 = 3 boxes. In total, Toni will ship 7 boxes of items to the store.
The complete question is: Toni makes hats and gloves. She needs to ship 48 hats and 36 gloves to a store. She wants to ship the same number of items in each box. Hats and gloves are shipped separately. How many boxes of items will Toni ship if she ships the largest number possible in each box? is: