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As of a certain date there had been a total of 17,589 performances of two shows on Broadway, with 3125 more performances of show a then show B. How many performances were there of each show?

Respuesta :

Answer:

There are 10357 performances of show a and 7232 performances of show b.

Step-by-step explanation:

We can solve this question using a system of equations.

I am going to say that:

a is the number of performances of show a.

b is the number of performances of show b.

Total of 17,589 performances

This means that [tex]a + b = 17589[/tex]

3125 more performances of show a then show B.

This means that [tex]a = 3125 + b[/tex]

So

[tex]a + b = 17589[/tex]

[tex]3125 + b + b = 17589[/tex]

[tex]2b = 17589 - 3125[/tex]

[tex]2b = 14464[/tex]

[tex]b = \frac{14464}{2}[/tex]

[tex]b = 7232[/tex]

[tex]a = 3125 + b = 3125 + 7232 = 10357[/tex]

There are 10357 performances of show a and 7232 performances of show b.

hardinsj1

Answer:

There are 10357 performances of show a and 7232 performances of show b.

Step-by-step explanation:

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