Max has two baskets of oranges. The ratio of the oranges in basket A to those in basjket B is 7:4. If Max puts half of the oranges in basket A to basket B. what is the new ratio of the oranges in basket A to basket B?

a/b = 7/4

so, b = 4a/7

(a/2)/(4a/7 + a/2)
= (a/2) / (15a/14)
= 7/15

To find the new ratio of the oranges in basket A to basket B after Max puts half of the oranges in basket A into basket B, we need to determine the number of oranges in each basket.

Let's assume that basket A initially contains 7x oranges, and basket B initially contains 4x oranges.

If Max puts half of the oranges in basket A into basket B, it means half of 7x, which is (1/2) * 7x = 7x/2, will be moved to basket B.

Therefore, the new quantity of oranges in basket A will be 7x - 7x/2 = (14x - 7x) / 2 = 7x / 2.

The new quantity of oranges in basket B will be 4x + 7x/2 = (8x + 7x) / 2 = 15x / 2.

So, the new ratio of oranges in basket A to basket B will be 7x/2 : 15x/2, which simplifies to 7:15.

Thus, the new ratio of the oranges in basket A to basket B is 7:15.