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 6.
Divide 75 by 6.

Add 3 to 75.
Add 3 to 75.

Divide 75 by 3.
Divide 75 by 3.

Subtract 6 from 75.

Answer 1

To solve this problem arithmetically and find the cost of one adult and one child ticket, the first step would be to set up equations based on the information given.

Let's denote the cost of an adult ticket as \( A \) and the cost of a child ticket as \( C \). According to the problem:

1. The total cost of the tickets is: \[ 3A + 3C = 75 \]

2. The cost of a child ticket is $3 less than an adult ticket: \[ C = A - 3 \]

You can substitute the second equation into the first to start solving for \( A \) and \( C \).

However, if you need to identify the specific first step based on the provided options, you will look for a relationship that can help evaluate the situation.

None of the options directly apply to creating an equation for finding the prices. However, to simply target finding the average (as a preliminary consideration), one could suggest:

• Divide 75 by 6. (This gives an average cost per ticket.)

Therefore, the correct response from the provided options would be:

Divide 75 by 6.