Final answer:
Samuel ran 15 minutes each day last month. We determined this by setting up an algebraic equation based on the information given that this month he ran twice the amount of time he did last month plus an additional five minutes, totaling 35 minutes daily.
Step-by-step explanation:
The question asks us to determine how many minutes Samuel ran each day last month based on his current running time.
This is a straightforward algebra problem.
Let's denote the number of minutes Samuel ran each day last month as x.
According to the problem, this month he ran twice the number of minutes he ran last month plus an additional five minutes, making a total of 35 minutes each day.
The equation to represent this situation is:
2x + 5 = 35
To find the value of x, we subtract 5 from both sides of the equation and then divide by 2:
- 2x + 5 - 5 = 35 - 5
- 2x = 30
- x = 30 / 2
- x = 15
Therefore, Samuel ran 15 minutes each day last month.