#### Question

In a basket, the ratio between the number of oranges and the number of apples is 7: 13. If 8 oranges and 11 apples are eaten, the ratio between the number of oranges and the number of apples becomes 1: 2. Find the original number of oranges and the original number of apples in the basket.

#### Solution

Let the original number of oranges and apples be 7x and 13x.

According to the given information,

`(7x - 8)/(13x - 11) = 1/2`

14x - 16 = 13x - 11

x = 5

Thus the original number of oranges and apples are 7 x 5 = 35 and 13 x 5 = 65 respectively

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Solution In a Basket, the Ratio Between the Number of Oranges and the Number of Apples is 7: 13. If 8 Oranges and 11 Apples Are Eaten, the Ratio Between the Number of Oranges and the Number of Apples Becomes 1: 2. Find the Original Number of Oranges and the Original Number of Apples in the Basket. Concept: Ratios.