1) Solve one of the equations for either variable.
2) Substitute the expression from Step 1 into the other equation.
3) Solve the resulting equation.
4) Substitute the solution in Step 3 into one of the original equations to find the other variable.
5) Write the solution as an ordered pair.
Answer:
23 child tickets were sold
Step-by-step explanation:
Using the information given, we can set up an equation to solve for the number of child tickets sold. Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets. Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:
5.20x + 9.70(3x) = 788.90
Simplify 5.20x + 29.1x = 788.90
Combine like terms: 34.3x = 788.90
Divide both sides by 34.3: x = 23 child tickets
