Let's solve this problem step by step:

Step 1: Let's denote the number of adult tickets as A and the number of student tickets as S.

Step 2: We know from the problem that A + S = 8 (because they bought 8 tickets in total) and 7.25A + 5.5S = 52.75 (because the total cost of the tickets is $52.75).

Step 3: Now we have a system of two equations, and we can solve it. Let's express A from the first equation: A = 8 - S.

Step 4: Now we can substitute A in the second equation: 7.25*(8 - S) + 5.5S = 52.75.

Step 5: If we simplify this equation, we get: 58 - 7.25S + 5.5S = 52.75.

Step 6: Combine like terms: 58 - 1.75S = 52.75.

Step 7: Subtract 58 from both sides: -1.75S = -5.25.

Step 8: Divide both sides by -1.75 to solve for S: S = 3.

Step 9: Substitute S = 3 into the first equation to find A: A = 8 - 3 = 5.

So, there were 5 adult tickets and 3 student tickets purchased.

Question

Let's solve this problem step by step:

Step 1: Let's denote the number of adult tickets as A and the number of student tickets as S.

Step 2: We know from the problem that A + S = 8 (because they bought 8 tickets in total) and 7.25A + 5.5S = 52.75 (because the total cost of the tickets is $52.75).

Step 3: Now we have a system of two equations, and we can solve it. Let's express A from the first equation: A = 8 - S.

Step 4: Now we can substitute A in the second equation: 7.25*(8 - S) + 5.5S = 52.75.

Step 5: If we simplify this equation, we get: 58 - 7.25S + 5.5S = 52.75.

Step 6: Combine like terms: 58 - 1.75S = 52.75.

Step 7: Subtract 58 from both sides: -1.75S = -5.25.

Step 8: Divide both sides by -1.75 to solve for S: S = 3.

Step 9: Substitute S = 3 into the first equation to find A: A = 8 - 3 = 5.

So, there were 5 adult tickets and 3 student tickets purchased.

Knowee AI · Accepted Answer

Let's solve this problem step by step:

Step 1: Let's denote the number of adult tickets as A and the number of student tickets as S.

Step 2: We know from the problem that A + S = 8 (because they bought 8 tickets in total) and 7.25A + 5.5S = 52.75 (because the total cost of the tickets is $52.75).

Step 3: Now we have a system of two equations, and we can solve it. Let's express A from the first equation: A = 8 - S.

Step 4: Now we can substitute A in the second equation: 7.25*(8 - S) + 5.5S = 52.75.

Step 5: If we simplify this equation, we get: 58 - 7.25S + 5.5S = 52.75.

Step 6: Combine like terms: 58 - 1.75S = 52.75.

Step 7: Subtract 58 from both sides: -1.75S = -5.25.

Step 8: Divide both sides by -1.75 to solve for S: S = 3.

Step 9: Substitute S = 3 into the first equation to find A: A = 8 - 3 = 5.

So, there were 5 adult tickets and 3 student tickets purchased.

Tickets to a movie cost $7.25 for adults and $5.50 for students. A group of friends purchased 8 tickets for $52.75. The system Response area can be used to find the total number of each type of tickets purchased.There were Response area adult tickets and Response area student tickets purchased.

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