# What was the total number of oranges and apples sold in the following case:A shopkeeper had 100 oranges and 46 apples. After he sold an equal number of oranges and apples, the ratio of the...

What was the total number of oranges and apples sold in the following case:

A shopkeeper had 100 oranges and 46 apples. After he sold an equal number of oranges and apples, the ratio of the remaining oranges to apples became 5:2.

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The shopkeeper had 100 oranges and 46 apples. Let the number of apples and oranges he sold be S. After selling them the ratio of the number of oranges remaining to the number of apples remaining is 5:2. This gives the equation:

(100 - S)/(46 - S) = 5/2

=> 2(100 - S) = 5(46 - S)

=> 200 - 2S = 230 - 5S

=> 30 = 3S

=> S = 10

He sold 10 apples and 10 oranges.

**The total number of oranges and apples sold was 20.**

The shopkeeper had 100 oranges and 46 apples.

Let the number of apples and oranges he sold be x.

After selling them the ratio of the number of oranges remaining to the number of apples remaining is 5:2. This gives the equation:

(100-x)/(46-x)=5/2

2(100-x)=5(46-x)

200-2x=230-5x

230-200=5x-2x or 5x-2x=230-200

3x=30

x=30/3

=10

Hence the required ans is 10