One-half of a certain number is equal to 65% of the second number. What is the ratio of the first number to second number?
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → 13:10
Let the first number = A and the second number = B.
Given:
$\frac{1}{2}A = 65\% \text{ of } B$
Convert percentage to fraction:
$65\% = \frac{65}{100} = \frac{13}{20}$
So,
$\frac{A}{2} = \frac{13}{20} B$
Multiply both sides by 20:
$10A = 13B$
Now write the ratio $A : B$:
$A : B = 13 : 10$