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

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Solution

Let the orginal number of oranges and apple be 7x and 13x
According to the given information,
$\frac{7 x - 8}{13 x - 11} = \frac{1}{2}$
$14 x - 16 = 13 x - 11$
$14 x - 13 x = 16 - 11$
$x = 5$
Thus, the orginal number of oranges and apples are $7 \times 5 = 35$ and $13 \times 5 = 65$ respectively.

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

Let the orginal number of oranges and apple be 7x and 13x According to the given information, 7x−813x−11=12 14x−16=13x−11 14x−13x=16−11 x=5 Thus, the orginal number of oranges and apples are 7×5=35 and 13×5=65 respectively.

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

Let the orginal number of oranges and apple be 7x and 13x
According to the given information,
$\frac{7 x - 8}{13 x - 11} = \frac{1}{2}$
$14 x - 16 = 13 x - 11$
$14 x - 13 x = 16 - 11$
$x = 5$
Thus, the orginal number of oranges and apples are $7 \times 5 = 35$ and $13 \times 5 = 65$ respectively.