A DJ has a total of 1075 dance rock and country songs on her system. The dance selection is three times the size of the rock selection. The country selection has 105 more songs than the rock selection. How many songs on the system are dance? How many rock? How many country?
Accepted Solution
A:
Answer: So, the DJ has a total of 194 rap songs, 582 dance songs, and 299 country songs. ❤❤Step-by-step explanation:Dance (D) + Rap (R) + Country (C) = 1,075 songsD = 3RC = R + 105RAPSubtract 105 from both side:(3R) + R + (R + 105) = 1,075 -105 -105Combine all R's:(3R) + R + R = 9705R = 970Divide both sides by 5:5R = 970/5 /5R = 194DANCED = 3(R)D = 3(194)D = 582COUNTRYC = R + 105C = 194 + 105C = 299So, the DJ has a total of 194 rap songs, 582 dance songs, and 299 country songs.