Answer:
There are 120 people in the marching band.
Step-by-step explanation:
Let no. of people in the band be x.
In the first rectangular arrangement,
Width of rectangle () = w people.
Length of rectangle () = (w-7) people
Therefore,
no. of people in the band(x) = Area of the rectangle = Product of width and Length
x = width length
x = (equation 1);
In the second rectangular arrangement,
Width of rectangle () = (w-3) people.
Length of rectangle () = (w-5) people
Therefore,
no. of people in the band(x) = Area of the rectangle = Product of width and Length
x = width length
x = (equation 2);
Therefore, from equation 1 and equation 2 , we get,
Therefore,
w = 15 (equation 3)
From equation 1 and equation 3, we get
x =
x = 120.
Therefore,
no. of people in the marching band = 120 people
