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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

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 #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. 

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 Nov 23, 2019
 #1
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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
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+1
Best Answer

 

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

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