Page 894 - Algebra 1

The guess-and-check method can be used when you cannot think of another way to solve a problem or not enough information has been given to simplify the solution process.
Using Guess and Check to Solve a Problem
The Drama Team made $534 for their fall festival. They sold 130 tickets. The tickets were $5 for adults and $3 for children. How many of each type of ticket were sold?
Understand
Find the number of each type of ticket sold. • Cost of adult ticket: $5
• Cost of child ticket: $3
• Number of tickets sold: 130
• Total sales: $534
Plan
Make a first guess for each type of ticket. The sum of tickets must be 130 and the total cost must be exactly $534. Multiply each guess by the cost of each ticket. Compare the total to $534. Adjust your guess until you find the solution.
Solve
72 adult tickets and 58 child tickets were sold.
Check
The total spent was $534, and the total number of tickets sold was 130. So, the solution is correct.
Skills Bank Practice
a. A local bus tour sold 65 tickets. Senior citizen tickets cost $10 and regular tickets cost $15. The total sales were $855. How many of each type of ticket were sold?
Example
3
Adult Ticket
Child Ticket
Total Tickets
Total Cost
1st guess
65
65
130
65($5) + 65($3) = $520
2nd guess
55
75
130
55($5) + 75($3) = $500
3rd guess
72
58
130
72($5) + 58($3) = $534
Skills Bank 879
SKILLS BANK