Systems of Equations
To form a system of equation from a word problem, we must recognize different variables to form different equations.
Solving the Question
Let a represent the number of child tickets.
Let b 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:
Solving the System of 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 a:
Solve for b:
Therefore, the number of adult tickets sold is 66.
Answer
66