One basket of oranges has one-third again as many oranges as a second basket. If the first basket has 3 more oranges than the second basket,how many has the first basket?

If the first basket has x and the second has y,

x = 4/3 y
x = y+3

x = 4/3 (x-3)
x = 4/3 x - 4
1/3 x = 4
x = 12

if i have 5648 fruit in 22 basket how many fruits does each basket get

Well, isn't that a fruity question! Let me squeeze out the math juice for you.

Let's call the number of oranges in the second basket "x". According to the problem, the first basket has one-third again as many oranges as the second basket. That means it has x + (1/3)x = 4/3x oranges.

We also know that the first basket has 3 more oranges than the second basket. So we can set up the equation: 4/3x = x + 3.

Now, let's solve this juicy equation:
4/3x - x = 3
(4 - 3/3)x = 3
(12/3 - 1/3)x = 3
(11/3)x = 3
x = (3 * 3) / 11
x = 9/11

So, the second basket has 9/11 oranges. And since the first basket has 3 more oranges than the second basket, it must have 9/11 + 3 = 42/11 oranges!

But let's be honest, who wants 42/11 oranges? Can we just round it down to a dozen? That would certainly make things simpler.

Let's assume the number of oranges in the second basket is "x".

According to the given information, the first basket has one-third again as many oranges as the second basket. This means the first basket has 1/3 more than the second basket.

Since the first basket has 3 more oranges than the second basket, we can set up the equation:

x + 3 = (1/3)x + x

To simplify the equation, we can multiply through by 3 to eliminate the fraction:

3(x + 3) = x + 3x

Expanding the brackets and combining like terms:

3x + 9 = 4x

Subtracting 3x from both sides of the equation:

9 = x

Therefore, the second basket has 9 oranges.

Now, let's find the number of oranges in the first basket:

x + 3 = 9 + 3 = 12

Therefore, the first basket has 12 oranges.

Let's break down the information given in the question:

1. The first basket has one-third again as many oranges as the second basket.
2. The first basket has 3 more oranges than the second basket.

Let's assume the number of oranges in the second basket is "x".

According to the first statement, the first basket has one-third again as many oranges as the second basket. So the first basket has (1 + 1/3) times as many oranges as the second basket, which can be written as (4/3)x.

According to the second statement, the first basket has 3 more oranges than the second basket. So we can write this as:

(4/3)x = x + 3

Now, we can solve this equation to find the value of x and determine the number of oranges in the first basket.

(4/3)x - x = 3
(1/3)x = 3
x = 3 * 3
x = 9

So, the second basket has 9 oranges.

Now we can find the number of oranges in the first basket:

(4/3) * 9 = 36/3 = 12

Therefore, the first basket has 12 oranges.