When an orchestra plays a national anthem, its musicians are ordered in a square. When the orchestra plays any other song, the musicians are ordered in a rectangle such that the number of rows increases by five. What is the number m of musicians in the orchestra?
When an orchestra plays a national anthem, its musicians are ordered in a square. When the orchestra plays any other song, the musicians are ordered in a rectangle such that the number of rows increases by five. What is the number m of musicians in the orchestra?
There are 400 musicians in the orchestra.
For the National Anthem, they stand in a 20 x 20 square.
For the other songs, they rearrange to a 25 x 16 rectangle.
.
a^2 =b * (b +5), solve for a, b
a = 6 and b = 4
6 x 6 = 4 x 9 = 36 Number of musicians in the Orchestra.
When an orchestra plays a national anthem, its musicians are ordered in a square. When the orchestra plays any other song, the musicians are ordered in a rectangle such that the number of rows increases by five. What is the number m of musicians in the orchestra?
There are 400 musicians in the orchestra.
For the National Anthem, they stand in a 20 x 20 square.
For the other songs, they rearrange to a 25 x 16 rectangle.
.