Riley takes 2 walks every day, one in the morning and one in the evening, and walks for a total of 5 ¼ hours in a 7-day week. If he walks for 15 minutes each morning, how many minutes does he walk for each evening?
Draw a tape diagram and write an equation to represent the situation. Use either model to solve.
5 1/4 hr = 315 min
315/ 7 - 15 = ____
To draw a tape diagram, we can represent the total time Riley walks in a 7-day week as 5 ¼ hours. We can break it down into 2 parts - the time he walks in the morning and the time he walks in the evening.
Let's first convert 5 ¼ hours into minutes. Since there are 60 minutes in an hour, we can multiply 5 (hours) by 60 to get the minutes, and add ¼ of an hour (15 minutes) to get the total.
5 hours * 60 minutes/hour = 300 minutes
300 minutes + 15 minutes = 315 minutes
So, Riley walks a total of 315 minutes in a 7-day week.
Now, let's calculate how many minutes he walks in the morning. We know that he takes 2 walks every day, and each morning walk is 15 minutes.
2 walks/day * 15 minutes/walk = 30 minutes/day
So, Riley walks a total of 30 minutes every day in the morning.
To find out how many minutes he walks in the evening, we can subtract the time he walks in the morning from the total time he walks in a week.
315 minutes - 30 minutes = 285 minutes
Therefore, Riley walks for 285 minutes in the evening.
To represent the situation using a tape diagram, we need to divide the total walking time of 5 ¼ hours into morning and evening walks.
First, let's convert 5 ¼ hours into minutes. There are 60 minutes in an hour, so we have:
5 ¼ hours = (5 * 60) + 15 = 315 minutes.
Next, we represent the morning walk as 15 minutes. Since Riley takes 2 walks every day, the total time for the morning walks in a week is 15 minutes multiplied by 7 days = 105 minutes.
To find the evening walk time, we subtract the morning walk time from the total walking time:
Evening walk time = Total walking time - Morning walk time
= 315 minutes - 105 minutes
= 210 minutes
Therefore, Riley walks for 210 minutes each evening.
Now let's write an equation to represent the situation. Let "x" be the number of minutes Riley walks each evening. The equation will be:
15 (minutes in the morning) + x (minutes in the evening) = 315 (total minutes in a week)
15 + x = 315
To solve for x, we subtract 15 from both sides of the equation:
x = 315 - 15
x = 300
Therefore, Riley walks for 300 minutes each evening.