- #1
AznBoi
- 471
- 0
Does it matter what order you put ratios and proportions in? For example:
The weight of the tea in a box of 100 identical tea bags is 8 ounces. What is the weight, in ounces, of the tea in 3 tea bags?
Here is the provided solution to the problem:
x/8=3/100
100x=24
x=.24
Here is my solution to the problem:
100/8=3/x (100 tea bags is 8 ounces)=(3 tea bags is x ounces)
100x=24
x=.24
I mean, why would they give the solution they provided?? Doesn't my solution prove to be easier. If 100 is 8 ounces, then 3 bags is x ounces.
Which method is correctly used? Does my method work for any type of proportion problem? It seems to me that both of these are the same, just differently set up and thought about.
Does it matter what order you put your ratio in? as long as the order is consistent throughout the problem? I just want to get this straight because a lot of my answers do not match up with solutions but have the same answer. Which method should I use? What method would you use?
If you don't mind and have time, please answer most, if not all of my questions. However, even the smallest insight would be appreciated! I'm very anxious to hear about these kind of problems. This will definitely help me out in the future, especially for the SAT.
The weight of the tea in a box of 100 identical tea bags is 8 ounces. What is the weight, in ounces, of the tea in 3 tea bags?
Here is the provided solution to the problem:
x/8=3/100
100x=24
x=.24
Here is my solution to the problem:
100/8=3/x (100 tea bags is 8 ounces)=(3 tea bags is x ounces)
100x=24
x=.24
I mean, why would they give the solution they provided?? Doesn't my solution prove to be easier. If 100 is 8 ounces, then 3 bags is x ounces.
Which method is correctly used? Does my method work for any type of proportion problem? It seems to me that both of these are the same, just differently set up and thought about.
Does it matter what order you put your ratio in? as long as the order is consistent throughout the problem? I just want to get this straight because a lot of my answers do not match up with solutions but have the same answer. Which method should I use? What method would you use?
If you don't mind and have time, please answer most, if not all of my questions. However, even the smallest insight would be appreciated! I'm very anxious to hear about these kind of problems. This will definitely help me out in the future, especially for the SAT.