Question
On the first day of summer break, Owen and his friends go to the theater to see the late action movie, Dark Emperor: Fist of Vengeance. After Owen buys a ticket, he also buys bucket of popcorn and a soda for \( \$ 9.75 \). In all, Owen spends \( \$ 20.75 \) at the movie theat Which equation can you use to find the cost \( c \) of Owen's ticket? \[ 9.75 c=20.75 \] \( c-9.75=20.75 \) Solve this equation for \( c \) to find the cost of Owen's ticket. dollars
Ask by Lindsey Campos. in the United States
Mar 01,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The cost of Owen's ticket is \$11.
Solution
Owen’s total spending is the sum of the ticket and the popcorn/soda bucket. This gives the equation:
ticket cost + 9.75 = 20.75
In symbols,
c + 9.75 = 20.75
To solve for c (the cost of the ticket), subtract 9.75 from both sides:
c = 20.75 – 9.75
c = 11
So, the cost of Owen's ticket is 11 dollars.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Beyond the Answer
To find the cost \( c \) of Owen's ticket, you can set up the equation based on his total spending. Since Owen spends a total of \( 20.75 \) dollars, which includes the cost of the ticket and the \( 9.75 \) spent on popcorn and soda, the correct equation would be: \[ c + 9.75 = 20.75 \] Now, to solve for \( c \), simply subtract \( 9.75 \) from both sides of the equation: \[ c = 20.75 - 9.75 \] Calculating this gives: \[ c = 11.00 \] Thus, Owen's ticket costs \( 11.00 \) dollars. Feel free to check your work; using the correct equation is key here!