A florist is arranging flowers in vases. There are 4 red flowers and 5 white flowers in every vase. The florist wants to make on

Question

3 years ago

6

A florist is arranging flowers in vases. There are 4 red flowers and 5 white flowers in every vase. The florist wants to make on

e large arrangement with 32 red flowers. The large arrangement will use the same proportion of flowers. How many total flowers will be in the large arrangement?

Mathematics

1 answer:

vichka [17] · Answer 1 · 2022-04-05T21:26:32+03:00

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

$4:5::32:w$

Product of extreme = Product of mean

$4*w=32*5\\4w=160$

Dividing both sides by 4

$\frac{4w}{4}=\frac{160}{4}\\w=40$

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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