Elissa D. answered • 10/02/19

PhD who loves tutoring with a specialty in Math and Science.

Assuming that the 12 people walking home constituted the group, then you have a total of 12 people to start off with each having 2 baskets (1 in each hand). When they got home, half of the group (6 people) did not have 2 baskets. So that means half of the group (6 people) did have 2 baskets. Our group now looks like this:

6 people have 2 baskets

6 people do not have 2 baskets

Assuming that these people did not gain baskets on their way home, that means that the 6 people who did not have 2 baskets had either 1 or 0 baskets when they got home. So we can rewrite the above as:

6 people have 2 baskets

6 people have 1 or 0 baskets

Half of the group that does not have 2 baskets only had 1 basket. So the half that does not have 2 baskets consists of 6 people. Half of this group of 6 is 3 people. Given that the option was either 1 or 0 baskets, that means that the other 3 people had 0 baskets. So now we can write the group as:

6 people have 2 baskets

3 people have 1 basket

3 people have 0 baskets

Let's figure out how many baskets there are in each subgroup:

6 people have 2 baskets so 6*2 = 12 baskets total in this subgroup

3 people have 1 basket so 3*1 = 3 baskets total in this subgroup

3 people have 0 baskets so 3*0 = 0 baskets total in this subgroup

Now to sum it all up, 12+3+0 = **15 total baskets remaining when the group arrived home**.