Two baskets together have 640 oranges if one-fifth of the oranges in the first basket be taken to the second basket then, number of oranges in both baskets become equal. The number of oranges in the first basket is
Let x be the number of oranges in the first basket.
The number of oranges in the second basket is 640 - x, as together they have 640 oranges.
Now, it is given that one-fifth (1/5) of the oranges in the first basket are taken to the second basket. This means (1/5)x oranges are moved to the second basket.
After this transfer, the number of oranges in the first basket becomes x - (1/5)x = (4/5)x.
The number of oranges in the second basket becomes 640 - x + (1/5)x = 640 - (4/5)x.
Now, according to the problem, when the number of oranges in both baskets becomes equal, we can set up an equation:
(4/5)x = 640 - (4/5)x
To solve for x, first, let's get rid of the fractions by multiplying both sides of the equation by 5:
4x = 3200 - 4x
Now, add 4x to both sides of the equation:
4x + 4x = 3200
8x = 3200
Next, divide both sides by 8 to solve for x:
x = 3200 / 8
x = 400
So, there were 400 oranges in the first basket.
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