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

Add 3 to 75.
Add 3 to 75.

Subtract 6 from 75.
Subtract 6 from 75.

Divide 75 by 3.
Divide 75 by 3.

Divide 75 by 6.

Answer 1

To solve this problem arithmetically, the first step would be to define the variables and set up an equation based on the information provided. Let's denote the cost of one adult ticket as \(A\) and the cost of one child ticket as \(C\).

From the problem, we have the following two pieces of information:

1. The total cost for three adult tickets and three child tickets is $75: \[ 3A + 3C = 75 \]
2. The cost of each child ticket is $3 less than the cost of an adult ticket: \[ C = A - 3 \]

To find the cost of one adult and one child ticket, we can substitute the second equation into the first equation and simplify.

Now, if we look at the provided responses, the most logical step to begin is to simplify the equation. The first step that would lead you closer to finding the costs would be to factor out the 3 from the total cost equation: \[ 3(A + C) = 75 \]

From here, dividing both sides of the equation by 3 gives you: \[ A + C = 25 \]

Therefore, the best choice from the responses is Divide 75 by 3.