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The number of cellos in a orchestra is equal to 2 more than one third the number of violins. If there are 24 violins in the orchestra, how many cellos are there

Respuesta :

saItair

Answer :

  • 10 cellos

Explanation :

Let the number of violins be 'x' then,the number of cellos would be equal to '1/3x + 2'.

atq,

  • total number of violins = 24

thus,

  • total number of cellos = 1/3*24 + 2
  • total number of cellos = 8 + 2
  • total number of cellos = 10

thus, there are 10 cellos in total in the orchestra.

semsee45

Answer:

10 cellos

Step-by-step explanation:

Let c be the number of cellos in an orchestra.

Let v be the number of violins in an orchestra.

Given that the number of cellos in a orchestra is equal to 2 more than one third the number of violins, this can be expressed as:

[tex]c=\dfrac{1}{3}v + 2[/tex]

To find the number of cellos in the orchestra if there are 24 violins, we can substitute v = 24 into the equation:

[tex]c=\dfrac{1}{3}(24) + 2[/tex]

[tex]c=8 + 2[/tex]

[tex]c=10[/tex]

Therefore, the number of cellos in the orchestra is:

[tex]\huge\boxed{\boxed{10\;\text{cellos}}}[/tex]

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