Question

Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. A ticket to the movie cost $5.25 more than a soda. How much did a ticket to the movie cost?

Answer 1

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