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
[tex]4:5::32:w[/tex]
Product of extreme = Product of mean
[tex]4*w=32*5\\4w=160[/tex]
Dividing both sides by 4
[tex]\frac{4w}{4}=\frac{160}{4}\\w=40[/tex]
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
Learn more about ratios at:
- brainly.com/question/4228574
- brainly.com/question/4279146
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