Danielle will use the instructions in the box below to make a cleaning solution
"Add 13 cups of water to every 2 cups of concentrated cleaner"
Which of the following proportions can be used to find W, the number of cups of water Danielle will add to 5 cups of concentrated cleaner?
A: 13/2 = w/5
B: 13/2 = 5/w
C: 13/5 = w/2
D: 5/2 = 13/w
A seems correct to me
Yes. :-) A is correct.
Thanks! :)
You're welcome.
To find the proportion that can be used to find the number of cups of water Danielle will add to 5 cups of concentrated cleaner, we need to determine the relationship between the cups of water and the cups of concentrated cleaner.
According to the instructions, Danielle needs to add 13 cups of water to every 2 cups of concentrated cleaner. We can represent this relationship using the ratio:
Water to cleaner = 13/2
Now, let's find the proportion that matches this relationship when considering the 5 cups of concentrated cleaner.
Option A: 13/2 = w/5
This proportion does not represent the relationship mentioned in the instructions, as the 5 cups of concentrated cleaner is on the right side instead of the left side.
Option B: 13/2 = 5/w
This proportion represents the correct relationship. The 5 cups of concentrated cleaner is on the left side, and the unknown cups of water (w) is on the right side.
Option C: 13/5 = w/2
This proportion does not represent the correct relationship. The proportions are reversed as compared to the instructions.
Option D: 5/2 = 13/w
This proportion does not represent the correct relationship. The proportions are reversed.
Therefore, the proportion that can be used to find the number of cups of water Danielle will add to 5 cups of concentrated cleaner is option B: 13/2 = 5/w.