Question

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 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? ОА. The equation is + 1 + 2 = 18 and the number of hip-hop songs is 48. سنه تا که تا O B. The equation is I + 2 = 18, and the number of hip-hop songs is 12. C. The equation is + 21 = 18, and the number of hip-hop songs is 36. OD. The equation is I + 2 r = 18, and the number of hip-hop songs is 20.

Answer 1

For the information given in the statement you have:

`\begin{gathered} \text{The number of hip-hop songs =}(4)/(3)x+2 \\ 18=(4)/(3)x+2 \end{gathered}`

Then, the equation is

`(4)/(3)x+2=18`

Now for the number of hip-hop songs, you can solve for x the equation

`\begin{gathered} (4)/(3)x+2=18 \\ \text{ Subtract 2 on both sides of the equation} \\ (4)/(3)x+2-2=18-2 \\ (4)/(3)x=16 \\ \text{ Multiply by }(3)/(4)\text{ on both sides the equation} \\ (3)/(4)\cdot(4)/(3)x=16\cdot(3)/(4) \\ x=12 \end{gathered}`

Then, the number of hip-hop songs is 12.

Therefore, the correct answer is B.