Mass of 1 sheet = (160 g/m^2)*(1/8 m^2) = 160/8 g = 20 g
mass of 25 sheets = (25 sheets)*(20 g/sheet) = 25*20 g = 500 g
So for this equation we're going to complete the square.
Firstly, what two terms have a product of 120x^2 and a sum of 29x? 24x and 5x. Replace 29x with 24x + 5x: 
Next, factor 4x^2 + 24x and 5x + 30 separately. Make sure that they have the same quantity inside the parentheses: 
Now you can rewrite the equation as: 
Now using zero product property, solve for x:
In short, x = -1.25 and -6
Answer: the number of children tickets sold 265
the number of adult tickets sold 77
Step-by-step explanation:
Let x represent the number of children tickets sold.
Let y represent the number of adult tickets sold.
They charge $5 per ticket for a child and $12 per ticket for an adult. They were sold for a total of $2250. This means that
5x + 12y = 2250 - - - - - - - - - -1
The total number of tickets sold is 342. This means that
x + y = 342
Substituting x = 342 - y into equation 1, it becomes
5(342 - y) + 12y = 2250
1710 - 5y + 12y = 2250
- 5y + 12y = 2250 - 1710
7y = 540
y = 540/7 = 77
x = 342 - y = 342 - 77
x = 265
