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

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.
Divide 75 by 6.

1 answer

The correct first step would be to set up a system of equations to represent the given information. Let x be the cost of an adult ticket and y be the cost of a child ticket.

From the given information:
3x + 3y = 75 (equation 1) - representing the cost of three adult and three child tickets being $75
y = x - 3 (equation 2) - representing the cost of a child ticket being $3 less than an adult ticket

Now, you can proceed to solve these equations to find the values of x and y.