The ratio of oranges and bananas is 3:6. There are 54 pieces of fruit altogether, how many of them are oranges?

Do I set it up 3/6 times x/54?

Oh, I've got it! It's 27!:)

No.

27 is half of 54. If half of the fruits are oranges and half are bananas, then the orange-to-banana ratio would be 1:1 (for every 1 orange there is 1 banana). That's not what you want.

yea i don't think its 27 eathier if i knew i would of helped but i don't lol:)

I think you started okay. You probably reduced the ratio 3:6 down to 1:2. But that does NOT mean 1/2.

1/2 means 1 out of every 2.

1:2 means 1 out of ever 3. That is, for every 1 of the first, there are 2 of the second: therefore, there are 3 altogether.

so it should be (1/3)54 = 18 oranges

PS: And (2/3)54 = 36 bananas.
Add them up and you do indeed get 54 fruits. And, if you compare the number of oranges, 16, to the number of bananas, 36, you do get a 1:2 ratio.

Yes, you are on the right track. To set up the equation, you can use the ratios to establish the relationship between the number of oranges, bananas, and the total number of fruit.

The ratio of oranges to bananas is given as 3:6, which can be simplified to 1:2 if we divide both sides by 3. This means that for every 1 orange, there are 2 bananas.

Let's assume the number of oranges is represented by x. Since the ratio of oranges to bananas is 1:2, the number of bananas would be 2x.

According to the problem, there are 54 pieces of fruit altogether, so the sum of the number of oranges and bananas should be equal to 54:

x + 2x = 54

Now, you can solve this equation to find the value of x, which represents the number of oranges.