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How many students attended the LHS Football game against Ypsilanti High School, given that a total of 1000 people attended and the tickets cost $4 per student and $7 per adult? If the athletics department raised a total of $5650, express the number of students in terms of x, where x represents the number of students.

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Final answer:

To find the number of students who attended the LHS Football game against Ypsilanti High School, we can set up a system of equations using the given information. The solution to the equations shows that 450 students attended the game.

Step-by-step explanation:

To find the number of students who attended the LHS Football game, we need to set up a system of equations using the given information. Let's assume that the number of students who attended the game is x.

The number of adults who attended the game can be expressed as (1000 - x), as the total number of people who attended is 1000.

From the equation, we can set up the following equation:
4x + 7(1000 - x) = 5650
-3x + 7000 = 5650

Solving this equation, we find that x = 450. Therefore, 450 students attended the LHS Football game against Ypsilanti High School.

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