Leo spent the same amount of time working on each of 5 different weight machines and then spent 2 thirds of an hour on the treadmill. If he spent a total of 1 and 3 fourths hours at the gym, which shows the correct equation and solution for x , the number of hours Leo spent at each of the weight machines?
Answer
A
5 x plus 2 thirds is equal to 1 and 3 fourths ; Leo spent 29 minutes at each machine.
B
2 thirds x plus 1 and 3 fourths is equal to 5 ; Leo spent 5 minutes at each machine.
C
5 x plus 2 thirds is equal to 1 and 3 fourths ; Leo spent 13 minutes at each machine.
D
2 thirds x plus 1 and 3 fourths is equal to 5 ; Leo spent 10 minutes at each machine.
Explanation
Let x be the time, in hours, Leo spent on each weight machine. The five machines took 5x hours, and the treadmill took 2/3 hour, so 5x + 2/3 = 1 3/4. Subtracting gives 5x = 13/12, so x = 13/60 hour, which is 13 minutes. Choice C gives the correct equation and solution.
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