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JC has a VIP membership to a movie theater, so she pays $27 a year and six dollars for each movie she sees. Claire doesn't have a membership, so she pays $8.25 each movie she sees. How many movies would they have to see in a year in order to pay the same amount that year.

Respuesta :

MrRoyal

Answer:

12 movies

Step-by-step explanation:

Given

VIP

[tex]Base\ Amount = \$27[/tex]

[tex]Per\ movie = \$6[/tex]

Regular

[tex]Per\ movie = \$8.25[/tex]

Required

Determine the number of movies where they pay the same amount

Represent the number of movies with m.

For VIP, we have..

[tex]Expression = 27 + 6 * m[/tex]

[tex]Expression = 27 + 6m[/tex]

For regular, we have

[tex]Expression = 8.25 * m[/tex]

[tex]Expression = 8.25m[/tex]

Equate both expressions

[tex]8.25m = 27 + 6m[/tex]

Collect Like Terms

[tex]8.25m - 6m = 27[/tex]

[tex]2.25m = 27[/tex]

Solve for m

[tex]m = 27/2.25[/tex]

[tex]m = 12[/tex]

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