Given
the number of group of purple as x
the number of group of red as y
The sum total of the flowers in group of 1 will be x+y
Since we are to find the total number of flowers she will have in group of 6, we will multiply the sum of the flower by 6 as shown;
6(x+y)
Open the parenthesis
= 6(x)+6(y)
= 6x+6y
The correct option is B