Between them, Mark and Sarah have 24 traffic tickets. Mark has twice as many parking tickets as Sarah, and they each have an equal number of speeding tickets. If Sarah has 6 speeding tickets, how many parking tickets does Mark have?
How many speeding tickets did Sarah and Mark get together? ** First figure out how many total speeding tickets the two people got by adding the 6 speeding tickets Sarah got to the equal number (6) that Mark got: 6 + 6 = <<6+6=12>>12
How many parking tickets did Mark and Sarah get together? ** Now subtract the combined number of speeding tickets from the total number of tickets to find the combined number of parking tickets: 24 - 12 = <<24-12=12>>12
How many parking tickets does Mark have? ** Now express Mark's number of parking tickets in terms of the number of parking tickets Sarah got: m = <<2=2>>2s
Write an equation ** We know that m + s = 12, so substitute in the value of m from the previous step to get 2s + s = 12
Combine like terms ** Combine like terms to get 3s = 12
Divide by 3 ** Divide both sides of the equation to get s = <<4=4>>4
How many parking tickets does Mark have? ** Now multiply the number of parking tickets Sarah got by 2 to find the number Mark got: 4 * 2 = <<4*2=8>>8
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