Final answer:
Descartes can make 24 full baskets with the party favors from the boxes, as he has a total of 368 favors, and each basket holds 15 favors.
Step-by-step explanation:
To determine how many baskets Descartes can make from the party favors in the boxes, first we need to find the total number of party favors available.
He has 6 large boxes with 48 party favors in each, and 5 small boxes with 16 party favors in each.
Total party favors in large boxes = 6 boxes × 48 favors/box
= 288 favors
Total party favors in small boxes = 5 boxes × 16 favors/box
= 80 favors
Overall total party favors = 288 + 80
= 368 favors
Since each basket can contain 15 favors, we divide the total number of favors by the number of favors per basket to find out how many baskets he can make:
Number of baskets = Total party favors ÷ Number of favors per basket
= 368 favors ÷ 15 favors/basket
= 24.53 baskets
Since you cannot have a fraction of a physical basket, Descartes can make 24 full baskets, and there would be some favors left over.