Three adult and three child movie tickets were purchased for $75. The cost of each child ticket is $3 less than the cost of an adult ticket. Identify the first step if solving this problem arithmetically, which would find the cost of one adult and one child ticket. (1 point) Responses Divide 75 by 3. Divide 75 by 3. Add 3 to 75. Add 3 to 75. Divide 75 by 6. Divide 75 by 6. Subtract 6 from 75. Subtract 6 from 75. Skip to navigation page 15 of 15
Divide 75 by 6.
explain?
To find the cost of one adult and one child ticket, we need to let x be the cost of one adult ticket. Since the cost of each child ticket is $3 less than the cost of an adult ticket, the cost of one child ticket would be x - 3.
Next, we need to set up an equation based on the information given. We know that three adult tickets and three child tickets cost a total of $75. So, the equation would be:
3x + 3(x - 3) = 75
Simplifying the equation, we get:
3x + 3x - 9 = 75
Combining like terms:
6x - 9 = 75
Now, to find the value of x, which represents the cost of one adult ticket, we solve the equation by isolating the variable. The first step in doing this is to add 9 to both sides of the equation:
6x = 75 + 9
Simplifying the right side:
6x = 84
Finally, to find the value of x, divide both sides of the equation by 6:
x = 84/6
Therefore, the first step to solve this problem arithmetically is to divide 75 by 6.
The first step to solve this problem arithmetically is to set up equations based on the given information. Let's denote the cost of an adult ticket as "x" and the cost of a child ticket as "x - 3" (since the cost of each child ticket is $3 less than the cost of an adult ticket).
Then we can set up the equation: 3x + 3(x - 3) = 75
The next step would be to simplify and solve this equation to find the value of "x" (the cost of an adult ticket).