Lizzy: In a court-mandated traffic class, there are a certain number of drunk drivers and 3 less than 7 times that many speeders. If there are 45 students total, how many drunk drivers are there?.
Me: Hmmm, let me think. I think this is the detailed solution:
Let d be the number of drunk drivers and s be the number of speeders. We know that d + s = 45 and s = 7d - 3. Substituting the second equation into the first equation, we get d + 7d - 3 = 45. Combining like terms, we get 8d - 3 = 45. Adding 4 to both sides, we get 8d = 48. Dividing both sides by 8, we get d = 6. Final answer: 6.