Sam went for a run in the morning. In the afternoon, he went grocery shopping and walked twice the distance through the store as he had run that morning. That evening, he went on a bike ride with his family and biked for 12 miles. In all, he went 18 miles that day. How many miles was Sam’s morning run?
Define a variable ** Let X be the distance Sam ran.
How far did Sam walk through the store? ** His walk through the store was twice the distance of his run, so his walk was 2X.
How many miles did Sam walk and run? ** He biked for 12 miles and went 18 miles in all, so he walked and ran 18 - 12 = <<18-12=6>>6 miles.
How many miles did Sam walk and run together? ** Thus, his walk and run together were X + 2X = 3X = <<6=6>>6 miles.
How far did Sam run? ** Thus, he ran X = 6 / 3 = <<6/3=2>>2 miles.
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