Solve the equation x^3 + 2x^2 - 11x -12 = 0
1 answer:
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<h2>Systems of Equations</h2>
To form a system of equation from a word problem, we must recognize different variables to form different equations.
<h2>Solving the Question</h2>Let <em>a</em> represent the number of child tickets.
Let <em>b</em> represent the number of adult tickets.
We're given:
- 1a = $6.20
- 1b = $9.40
- a and b in total is 163
- Total sales = $1221.80
Because we're given that a and b in total is 163, we can form the following equation:
We're also given that the total sales made is $1221.80. Because we know that 1a = $6.20 and 1b = $9.40, we can also form the following equation:
Here are our two equations:
We can solve using the method of elimination. Multiply both sides by 6.2 in the first equation:
Subtract this new equation from the second equation to cancel out <em>a</em>:
Solve for <em>b</em>:
Therefore, the number of adult tickets sold is 66.
<h2>Answer</h2>66