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Question

# If the ratio of number of apples to number of oranges in a box is 3:8, then the number of apples and oranges in the box can be _______

A
Apples = 24 ; Oranges = 9
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B
Apples = 9 ; Oranges = 24
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C
Apples = 33 ; Oranges = 77
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D
Apples = 3 ; Oranges = 11
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Solution

## The correct option is B Apples = 9 ; Oranges = 24Calculating the ratio between the number of apples and oranges in each case, we find: Case 1: Apples = 24 ; Oranges = 9 Fraction of apples to oranges=249=24÷39÷3=83 Representing the fraction as a ratio, we find: 83⟹8:3 Case 2: Apples = 9 ; Oranges = 24 Fraction of apples to oranges=924=9÷324÷3=38 Representing the fraction as a ratio, we find: 38⟹3:8 Case 3: Apples = 33 ; Oranges = 77 Fraction of apples to oranges=3377=33÷1177÷11=37 Representing the fraction as a ratio, we find: 37⟹3:7 Case 4: Apples = 3 ; Oranges = 11 Fraction of apples to oranges=311 Representing the fraction as a ratio, we find: 311⟹3:11 The given ratio of number of apples to numebr of oranges is 3:8 ∴The distribution of fruits in the box can be: Apples = 9 ; Oranges = 24

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