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

Sagot :

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.

Answer:  36

Step-by-step 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 :-

[tex]4x+8x=108\\\\\Rightarrow\ 12x=108\\\\\Rightarrow\ x=\dfrac{108}{12}=9[/tex]

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

Hence, there are 36 purple flowers.