Answer:
x^2 - 3x - 40 = 114.
Step-by-step explanation:
They offered x styles and x colours last year.
After increasing by 5 and decreasing by 8 they offered
(x + 5)(x - 8) and this equals 114.
So (x + 5)(x - 8) = 114
x^2 - 3x - 40 = 114.
This works out to 14 styles.
We can check the result as follows
Last year the number of combinations of color and style was 14*14 = 196.
This year it is 14+ 5 = 19 styles and 14 - 8 = 6 colors.
This comes to 19 * 6 = 114.
