Three adult and three could move tickets were purchased for $75. The cost of each child ticket is $3 less then the cost of an adult ticket. Identify the first step if solving this problem arithmetically, which would find the cost of one adult an done child ticket.

Question

Subtract 6 from 75

Divide 73 by 3

Add 3 to 75

Answer 1

To find the costs of the adult and child tickets, we can start by setting up the relationship between them based on the information provided.

Let \( x \) be the cost of one adult ticket. Then the cost of one child ticket would be \( x - 3 \).

The total cost of three adult tickets and three child tickets can be expressed as:

\[ 3x + 3(x - 3) = 75 \]

Simplifying this equation:

\[ 3x + 3x - 9 = 75 \]

\[ 6x - 9 = 75 \]

Now, to isolate \( x \), we would first add 9 to both sides:

\[ 6x = 84 \]

Then divide by 6 to solve for \( x \):

\[ x = 14 \]

Then, we could find the cost of the child ticket as \( x - 3 \):

\[ x - 3 = 14 - 3 = 11 \]

Now, looking back at your options, let's evaluate them:

1. Subtract 6 from 75 – This does not lead us directly to finding the costs.
2. Divide 73 by 3 – This is not relevant as we need to use the total cost of 75.
3. Add 3 to 75 – This step also does not directly help in finding the costs.

The first arithmetic step to solve for the ticket costs based on our setup is adding 9 to 75 to begin moving towards isolating 'x' after the initial expression, which is not listed in your provided options. The option that best leads us toward solving the equation setup we wrote would require additional steps, as none of your options directly help us isolate and solve for the ticket costs.

However, considering your options, a step that seems relevant in your list is actually to add 9 to 75 (though it's not directly listed, it's implied as part of the simplification).

If you strictly need to choose from the given options without adding a new one, I recommend revisiting the options or considering more suitable steps toward simplifying the costs directly from initial expressions.

Answer 2

So which one is it???

Answer 3

I apologize for any confusion in my previous response. To clarify based on the original problem, let's evaluate your options:

1. Subtract 6 from 75 – This does not help in solving for the cost of the tickets.
2. Divide 73 by 3 – This is not relevant here since our total is 75, not 73.
3. Add 3 to 75 – This does not help either.

None of the listed steps are directly correct to solve for the ticket prices based on the problem setup.

However, if we were to identify the first logical step from the equation we derived (i.e., setting up the equation \(6x - 9 = 75\)), the proper move would be to add 9 to both sides of the equation to isolate \(x\), though that step is not among your options.

If forced to choose from your options without context, none would be suitable for solving the equation correctly. Please re-evaluate the options, as the calculation should involve manipulating the equation to find the cost of tickets effectively.