Shonna skateboarded for some number of minutes on Monday. On Tuesday, she skateboarded for twice as many minutes as she did on M
onday, and on Wednesday, she skateboarded for half the sum of minutes from Monday and Tuesday. Altogether, she skateboarded for a total of three hours. How many minutes did she skateboard each day?
Call the minutes she spend skateboarding on Monday as x
On Tuesday, she skateboarded for twice as many minutes -> 2x On wednesday, she skateboarded for half the sum of minutes from Monday and Tuesday -> (x+2x)/2 = 1.5x
In total, she skateboarded a total of 3 hours (180 minutes) -> 2x + x + 1.5x = 4.5x = 180
-> x = 180 : 4.5 = 40
So, she spend 40 minutes on Monday, 80 minutes on Tuesday and 60 minutes on Wednesday
Recheck : She spend 80 : 40 = 2 times as much time on Tuesday than Monday, and she spend half the sum of Monday and Tuesday : (40+80)/2 = 60, and 40 + 80 + 60 adds up to 180, which is 3 hours.
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