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.​

Answer 1

Answer:

Number of oranges = 35 & Number of apples = 65

Step-by-step explanation:

Let the common multiple be x in the ratio of orange:apple

We are given that orange/apple = 7x/13x

As 8 oranges and 11 apples are eaten,

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

2(7x-8) = 13x - 11

14x - 16 = 13x - 11

x = 5

Hence number of oranges = 7x = 35

Number of apples = 13x = 65