Together, Alan and Marcy handed out 150 parking tickets. If Marcy handed out 6 fewer than 5 times as many tickets as Alan, how many tickets did Alan hand out?
Thoughts? Step-by-step reasoning:
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Let a be the number of tickets Alan hands out and m be the number Marcy hands out. We know that a + m = 150 and m = 5a - 6. Substituting the second equation into the first, we get a + 5a - 6 = 150. Adding 2 to both sides, we get a + 5a = 156. Combining like terms, we get 6a = 156. Dividing both sides by 6, we get a = 26.
Thus, the answer is 26.
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