There will be 72 flowers in total in the large arrangement.
Step-by-step explanation:
No. of red flowers in vase = 4
No. of white flowers in vase = 5
Ratio of red flowers to white flowers = 4:5
No. of red flowers in large arrangement = 32
No. of white flowers in large arrangement = w
Ratio of red flowers to white flowers = 32:w
Using proportion;
Ratio of red flowers to white flowers :: Ratio of red flowers to white flowers
![4:5::32:w](https://tex.z-dn.net/?f=4%3A5%3A%3A32%3Aw)
Product of extreme = Product of mean
![4*w=32*5\\4w=160](https://tex.z-dn.net/?f=4%2Aw%3D32%2A5%5C%5C4w%3D160)
Dividing both sides by 4
![\frac{4w}{4}=\frac{160}{4}\\w=40](https://tex.z-dn.net/?f=%5Cfrac%7B4w%7D%7B4%7D%3D%5Cfrac%7B160%7D%7B4%7D%5C%5Cw%3D40)
Total flowers in large arrangement = Red flowers + white flowers
Total flowers in large arrangement = 32 + 40 =72
There will be 72 flowers in total in the large arrangement.
Keywords: ratio, proportion
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