What you would have to do for this problem is set up an equation for a year and equal them out. The equation would be 27+6x = 8.25x.
X = each visit to the movie.
Now all you have to do is solve the equation. Subtract 6x from 8.25x, and get 27=2.25x. Then, divide 2.25 from 27, and you would get your answer, which is 12. So, they would both have to see 12 movies to pay the same amount that year.
To check your work to see if you were right, you would plug in 12 as x, because that is the variable that represents the amount of visits to the movie. For Jaycie, the equation would be 27+6.00(12), and you would get 99, so she would pay $99 in total. For Claire, you would just do 8.25(12), which is also 99. That is how you know your answer is right.
Hope I helped, it would be greatly appreciated if you gave me brainliest if you understood what I explained :)
They'll need to see 12 movies together before they pay the same amount.
Let the number of movies be x
Based on the question given, the equation for Jaycie will be:
= 27 + (6 × x)
= 27 + 6x
The equation for Clarie will be:
= 8.25 × x
= 8.25x
Then, the equation to solve the question will be:
27 + 6x = 8.25x
Collect like terms
27 = 8.25x - 6x
2.25x = 27
x = 27/2.25
x = 12
They will see 12 movies together.
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