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
RESPONSES USE THEM
Subtract 6 from 75.
Divide 75 by 6.
Add 3 to 75.
Divide 75 by 3
The first step in solving this problem arithmetically would be to assign variables to represent the cost of an adult ticket and a child ticket. For example, let's say the cost of an adult ticket is A, and the cost of a child ticket is C.
Next, you can set up two equations based on the given information:
1) Three adult tickets plus three child tickets equals $75:
3A + 3C = 75
2) The cost of each child ticket is $3 less than the cost of an adult ticket:
C = A - 3
Now, you can solve this system of equations using substitution or elimination to find the values of A and C, which represent the cost of an adult ticket and a child ticket, respectively.