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A DJ tracks the song requests she receives on a Friday night. She noted that the number of requests for country songs was 2 more than 4/3 times the number of requests for hip-hop songs. There were 18 requests for country. If x represents the number of requests for hip-hop songs, which equation represents this situation? How many requests for hip-hop songs did the DJ receive on Friday night?

Respuesta :

vanillakokocrunch
No. of country songs=4/3x+2
No of hip-hop requests= (18-2)x 3/4=12

DJ received 12 requests for the hip hop song on Friday night as per the given equations.

What is the system of equations?

"A system of equations is a finite set of equations for which we find the common solution."

According to the question,

x represents the number of hip hop songs

y represents the number of country songs

Situation 1: Number of requests for the country songs was 2 more than 4 / 3 times the number of requests of hip hop songs , represents the equation:

y = (4 / 3) x + 2                 ______(1)

Situation 2: Number of  requests for country song is 18 , represents the equation:

y = 18                             _________(2)

Substitute the value of y in equation (1) from (2) we get,

  18 = (4 /3)x +2

⇒ ( 4/ 3) x = 18 - 2

⇒ x = 12

Hence, DJ received 12 requests for the hip hop song on Friday night as per the given equations.

Learn more about system of equation here

https://brainly.com/question/13837102

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