Tickets to the theater cost $12 for adults and $9 for children. a group of 15 adults and children are attending the theater. if the total cost was $153, how many adults and how many children went?

Can be either 6 adult tickets and 9 children tickets or 9 adult tickets and 5 children tickets

6 Adults

9 Children

Step-by-step explanation:

-12(X+Y) = 15

12x+9y= 153

X+9= 15

12x -12y = -180

12x+9y = 153

X+9= 15

-9 -9

X= 6  

-3y = -27

Y= 9

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)