3 adult and 3 child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. The first step to solving this problem algebraically is to write an equation: 3 (x + x - 3) = 75, where x represents the cost of an adult ticket. Identify the next step, which would simplify the equation before solving for the variable.
(1 point)
A. Add 3 to 75
B. Divide 75 by 3
C. Distribute values over the variables
D. Combine like terms in parenthesis
1. Distribute the 3, then add 12, and lastly divide by 3.
2. Multiply by -2
3. Divide 75 by 3
4. Combine
5. Adult $14, child $11
What is the price of each ticket?
To find the price of each ticket, we can solve the equation 3(x + x -3) = 75.
First, distribute the values over the variables:
3(2x -3) = 75
Next, simplify:
6x - 9 = 75
To isolate x, add 9 to both sides of the equation:
6x = 84
Finally, divide both sides by 6:
x = 14
Thus, the price of each adult ticket is $14.
To find the price of each child ticket, we subtract $3 from the price of each adult ticket:
14 - 3 = 11
Therefore, the price of each child ticket is $11.
I apologize for the confusion in my previous response. You are correct, the next step is to distribute the 3 over the terms in the parentheses:
3(x + x - 3) = 75
3(2x - 3) = 75
Next, simplify the equation:
6x - 9 = 75
To isolate the variable, add 9 to both sides of the equation:
6x = 84
Finally, divide both sides by 6:
x = 14
Thus, the price of each adult ticket is $14.
To find the price of each child ticket, we subtract $3 from the price of each adult ticket:
14 - 3 = 11
Therefore, the price of each child ticket is $11.
Sorry again for the confusion, and thank you for bringing it to my attention.