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# help

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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?

Nov 22, 2019

#3
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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.

.

Nov 23, 2019

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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.

Nov 22, 2019
#2
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If the original square is 6 x 6 then how does 4 x 9 have an additional 5 rows?

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Guest Nov 22, 2019
#3
+1

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.

.

Guest Nov 23, 2019