Final answer:
To find the total number of dogs in the dog show, we need to calculate the number of dogs in each row and then add them up. After going through each row and making the necessary calculations, we find that there are a total of 62 dogs in the dog show.
Step-by-step explanation:
To find the total number of dogs, we need to add up the number of dogs in each row. Let's go through each row one by one:
Row 1: There are 12 stands in this row, but the last stand is empty. So, there are 12 - 1 = 11 dogs in this row.
Row 2: Half of the stands in this row are empty. Half of 12 is 6, so there are 6 dogs in this row.
Row 3 and 4: Both of these rows are .666 full, which means they are 66.6% full. So, the number of dogs in each of these rows is 66.6% of 12, which is approximately 7.99. Rounding this to the nearest whole number, we get 8 dogs in each of these rows.
Row 5: There are 2 empty stands in this row, so there are 12 - 2 = 10 dogs in this row.
Row 6: This row is 75% full. So, the number of dogs in this row is 75% of 12, which is 9 dogs.
Row 7: This row is 1/6 empty, which means it is 5/6 full. So, the number of dogs in this row is 5/6 of 12, which is 10 dogs.
Now, let's add up the number of dogs from all the rows: 11 + 6 + 8 + 8 + 10 + 9 + 10 = 62.
Therefore, there are a total of 62 dogs in the dog show.