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There are 78 students from a local high school attending a concert. The concert hall has 40 rows of seats. The first row has 50 seats, and each row after that has 4 more seats than the one before. If all 78 students sit in one row and are as close to the front row as possible, in which row did the students sit?
row 7
row 8
row 11
row 12

Respuesta :

ianbett2022

Answer:

row 8

Step-by-step explanation:

Let x be the row number where the students are seated.

1The total number of seats in the first x rows is given by the formula 50 + 4(x - 1)

2Set up the equation to find the total number of seats: 50 + 4(x - 1) = 78

3Simplify the equation: 50 + 4x - 4 = 78

4Combine like terms: 46 + 4x = 78

5Subtract 46 from both sides: 4x = 78 - 46

6Calculate the difference: 4x = 32

7Divide both sides by 4 to find x: x = 32 / 4

8Calculate the result: x = 8.

Therefore, the students sat in row 8.

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