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If the ratio of the purple flowers to black flowers is 4 to 8 and there are a total of 108 flowers,how many of the flowers are purple

User Oldenborg
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2 Answers

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36 flowers would be purple. Here's why:
The ratio 4:8 is the same as 1:2. This means that of every three flows, 1 is purple and 2 are black.
Since 1/3 of the flowers are purple, you'd take 108 x (1/3), or simply divide by 3. Your answer would be 36, and that's how many flowers are purple.
User Konsol Labapen
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7.9k points
4 votes

Answer: 36

Explanation:

Given : The ratio of the purple flowers to black flowers is 4 to 8.

Let the number of purple flowers be 4x and the number of black flowers be 8x.

Since , there are a total of 108 flowers.

Then we have the following equation :-


4x+8x=108\\\\\Rightarrow\ 12x=108\\\\\Rightarrow\ x=(108)/(12)=9

Now, the number pf purple flowers = 4(9)=36

Hence, there are 36 purple flowers.

User Divinedragon
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