Question

In a bag there are yellow sweets and pink sweets. The ratio of yellow sweets to pink sweets is 4 : 9. What fraction of the sweets are pink?

• A. $\frac{9}{13}$
• B. $\frac{4}{13}$
• C. $\frac{9}{4}$
• D. $\frac{1}{9}$

Answer 1

The correct option is A $\frac{9}{13}$

The ratio of yellow sweets to pink sweets is 4 : 9, that means there are 4 yellow sweets for every 9 pink sweets.

Let the number of yellow sweets is 4, then the number of pink sweets would be 9.

Total number of sweets $=\text{Number of yellow sweets}+\text{Number of pink sweets}$
$=4+9=13$

Fraction of pink sweets out of the total sweets
$=\frac{\text{Number of pink sweets}}{\text{Total number of sweets}}$
$=\frac{9}{13}$