Question

The number of fruits in a fruit salad is given. If the ratio of apples to oranges in each portion is equal, the missing entries in the table are

• A. X = 18 ; Y = 15
• B. X = 12 ; Y = 15
• C. X = 15 ; Y = 12
• D. X = 15 ; Y = 18

Answer 1

The correct option is B X = 12 ; Y = 15

The ratio of apples to oranges in the first portion = 6:2

Now, dividing by a common number 2, we get:

$\frac{6÷2}{2÷2}=\frac{3}{1}=3:1$

Similarly, for the second portion, we have:

$\frac{9÷3}{3÷3}=\frac{3}{1}=3:1$

Any ratio a:b can be written in its fractional form as:

$a:b=\frac{a}{b}$
$\therefore 3:1=\frac{3}{1}$

Multiplying the numerator and the denominator by 4, we get:

$\frac{3\times 4}{1\times 4}=\frac{12}{4}=\frac{\text{Apples in potion 3}}{\text{Oranges in portion 3}}$

So, when the number of oranges is 4, the number of apples in the portion will be 12.

Hence, X = 12

Similarly, multiplying the numerator and denominator of the fraction by 5, we get:

$\frac{3\times 5}{1\times 5}=\frac{15}{5}=\frac{\text{Apples in potion 4}}{\text{Oranges in portion 4}}$

So, when the number of oranges is 5, the number of apples in the portion will be 15.

Hence, Y = 15