Answer: a ticket to the movie costs $8.5
Step-by-step explanation:
Let x represent the cost of a movie ticket.
Let y represent the cost of a Soda.
Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. This means that
3x + 3y = 35.25 - - - - - - - - - -1
A ticket to the movie cost $5.25 more than a soda. This means that
x = y + 5.25
Substituting x = y + 25 into equation 1, it becomes
3(y + 5.25) + 3y = 35.25
3y + 15.75 + 3y = 35.25
6y = 35.25 - 15.75 = 19.5
y = 19.5/6 = 3.25
x = y + 5.25 = 3.25 + 5.25
x = 8.5
