Decimals and Fractions Practice Test 3

Question : 34 of 40

Marks: +1, -0

In a box containing apples and oranges,

2 /3

of all the apples and

3 /4

of all the oranges are rotten. The number of rotten apples equals the number of rotten oranges. What fraction of the total number of fruits in the box is rotten?

$12/ 17$
$5/ 17$
$9 /13$
$11/ 13$

Validate

Solution:

Fresh Apples

=1/3x

, Rotten Apples

=2/3x

Fresh Oranges

=1/4y

, Rotten Apples

=3/4y

According to the given statement,

2/3x=3/4y

⇒y=8/9x

Now the fraction of total numbers of rotten fruits in the box are

={2/3x+3/4y}/{2/3x+1/3x+3/4y+1/4y}={2/3x+3/4y}/{x+y}

Put value of

y =8/9x

{2/3x+3/4×8/9x}/{x+{8x}/9}={2/3x+2/3x}/{17/9x}

={4x}/3×9/{17x}={12x}/{17x}=12/17

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