Answer:
64 ivy stems.
Step-by-step explanation:
Given:
A wedding planner uses 72 ivy stems for 18 centerpieces.
When she arrives at the venue, she realizes she will only need 16 centerpieces.
Question asked:
How many ivy stems should she use so that the ratio of ivy stems to centerpieces stays the same?
Solution:
<u>As wedding planner uses 72 ivy stems for 18 centerpieces: </u>
Ratio of ivy stems to centerpieces = ![\frac{72}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B72%7D%7B18%7D)
<u>As she realizes that she needs only 16 centerpieces:</u>
Let ivy stems should be used to stays the ratio same = ![x](https://tex.z-dn.net/?f=x)
Now, to do the ratio same:-
Old ratio = ![\frac{72}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B72%7D%7B18%7D)
New ratio = ![\frac{x}{16}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B16%7D)
To do the ratio same:-
![\frac{72}{18}=\frac{x}{16} \\](https://tex.z-dn.net/?f=%5Cfrac%7B72%7D%7B18%7D%3D%5Cfrac%7Bx%7D%7B16%7D%20%5C%5C)
By cross multiplication:
![18x=72\times16\\18x=1152](https://tex.z-dn.net/?f=18x%3D72%5Ctimes16%5C%5C18x%3D1152)
Dividing both sides by 18
![x=64](https://tex.z-dn.net/?f=x%3D64)
Therefore, 64 ivy stems she should use so that the ratio of ivy stems to centerpieces stays the same.