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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. - ICSE Class 10 - Mathematics

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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Selina Solution for Selina ICSE Concise Mathematics for Class 10 (2018-2019) (2017 to Current)
Chapter 7: Ratio and Proportion (Including Properties and Uses)
Ex.7A | Q: 16

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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.
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