Question

DJ tracks the song request she received on Friday night she noted that the number of request for country songs with two more than 4/3 times a number request for hip-hop songs they're 18 request for country songs if X represents the number of request for K-pop songs which equation represents the situation how many request for hip-hop songs did the DJ receive on Friday night

Answer 1

Answer: DJ receive 12 requests for hip-hop songs on Friday night.

Step-by-step explanation:

As per given , we have

$\text{(Number of request country songs ) = }2+\dfrac{4}{3}\times (\text{Number of request for hip-hop songs})$

Let X represents the number of request for hip-hop songs which equation represents the situation .

If  they're 18 request for country songs, then

$18=2+\dfrac{4}{3}X\\\\\Rightarrow\ 18-2 =\dfrac{4}{3}X\\\\\Rightarrow\ 16 =\dfrac{4}{3}X\\\\\Rightarrow\ X=\dfrac{3}{4}\times16= 3\times4=12\\\\\Rightarrow\ X=12$

Hence, DJ receive 12 requests for hip-hop songs on Friday night.