 
 <prompt> Jason ya rubuta lambar motocin da suka wuce a gefen shi. Ya rubuta goma sha uku da motocin da suka wuce suna launi green a matsayin motocin da suka wuce suna launi red, da kuma motocin da suka wuce suna launi purple suna goma sha shida. Idan ya rubuta motocin 312 a jami, me yasa suna purple? <response>: ```gashi ya fi gari da manya, r ya fi gari da manyan manyan, da kuma p ya fi gari da manyan manyan. Mu san cewa g + r + p = 315, r = p + 6, da kuma g = 4r
Substitute the second equation into the third equation to get: g = 4r = 4(p + 6) = 4p + 24
Now substitute the equations that express g and r in terms of p in the equation for the total number of cars: 4p + 24 + p + 6 + p = 315
Now combine like terms to get 6p + 30 = 312
Now subtract 30 from both sides to get 6p = 282
Now divide both sides by 6 to get p = 47

The final answer: 47.``` 