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)

Question

Responses

Divide 75 by 3.
Divide 75 by 3.

Divide 75 by 6.
Divide 75 by 6.

Add 3 to 75.
Add 3 to 75.

Subtract 6 from 75.

Answer 1

To solve this problem arithmetically, the first step would be to set up a relationship between the cost of adult and child tickets. However, the given options do not directly lead to that.

The best option among those provided is to start by defining variables:

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

Thus, the equation representing the total cost is:

\( 3a + 3(a - 3) = 75 \)

This leads us to the first step in simplifying our equation based on these variables. However, from the provided options, none of the responses perfectly corresponds to the best mathematical step to directly identify costs of tickets.

In terms of provided options, none of them represent the correct initial step to find either ticket's cost. Each suggested response either improperly divides or adjusts the total without accounting for the relationships between ticket costs.

If forced to choose the closest option, one might incorrectly argue dividing by 6 (the total number of tickets) could allow for investigating an average ticket cost, yet it violates the specific relationships needed to determine actual ticket prices effectively.

Therefore, from a strictly mathematical perspective, the above options do not address the primary computations needed to solve for ticket costs. If possible, we should reconsider the available choices or formulate a clearer first step based on correctly establishing ticket costs.

Ideally, the best first step towards solving this equation involving adult and child ticket prices would be setting up the variables and formulating the equation, which is not provided as an option in your query.

Answer 2

which one

Answer 3

Based on the options provided and the context of the problem, the most relevant choice is:

Divide 75 by 6.

This option insinuates an attempt to find an average cost per ticket, which indirectly prompts to establish a better understanding of the ticket pricing scenario. While not the most efficient way to solve the problem, it's the closest to forming a perspective needed for the next steps toward determining the prices of adult and child tickets.

For a complete understanding, the actual mathematically correct first steps would involve setting up the relationships using variables, but given the provided options, “Divide 75 by 6” is the most logical choice.