Please solve these word problem.Last saturday ,jia li spent 6 hours altogether playing games ,studying and chatting with his friends ,he spent 2/5of the time playing games and 1/2 of the time studying .how many minutes did he spend chatting with his friends ?
as with all word problems, turn the sentences into algebra. Then anyone can solve the equations. So, what have they told you here?
g+s+c = 6 hours
g = 2/5 of 6 is 12/5 or 2.4
s = 1/2 of 6 is 3
Now you can figure out what c is. (in minutes!)
T = 6 - (2/5+1/2)6 = 6 - (4/10+5/10)6 = 6 - (0.9)6 = 0.6 h.
To solve this word problem, we can break it down into steps:
Step 1: Find out the total time Jia Li spent on games and studying.
Jia Li spent 2/5 of the total time playing games. Let's represent the total time as 't' hours. Therefore, the time spent playing games is 2/5 * t = (2/5)t hours.
Jia Li also spent 1/2 of the total time studying. So, the time spent studying is 1/2 * t = (1/2)t hours.
Step 2: Add the time spent on games and studying together to find the total time.
Therefore, the total time spent on games and studying is (2/5)t + (1/2)t = (4/10)t + (5/10)t = (9/10)t hours.
Step 3: Find out the time spent chatting with friends.
The time spent chatting with friends is the remaining time after subtracting the time spent on games and studying from the total time Jia Li spent (which is 6 hours).
So, (9/10)t = 6.
To solve for t, we multiply both sides of the equation by (10/9):
t = 6 * (10/9) = 20/3 ≈ 6.67 hours.
Step 4: Convert the time spent chatting into minutes.
To convert hours into minutes, we multiply the number of hours by 60 (since there are 60 minutes in an hour).
So, the time spent chatting with friends is (6.67 hours) * 60 ≈ 400.2 minutes.
Therefore, Jia Li spent approximately 400 minutes chatting with his friends last Saturday.