Question

A bus can hold a maximum of 35 passengers. There are 5 seats reserved for older people, 15 seats for general people. If the remaining seats are for women, then what's the maximum number of seats reserved for women?

• A. 5
• B. 10
• C. 15
• D. 25

Answer 1

The correct option is C 15

Maximum number of seats $=35$
Number of seats reserved for older people$=5$
Number of seats reserved for general$=15$
Let the number of seats reserved for womens be $x$

(Number of seats reserved for older people) + (Number of seats reserved for general) + (Number of seats reserved for womens) $\le$ (Total number of seats)
$5+15+x\le 35$
$20+x\le 35$

Subtract 20 from both the sides
$20+x-20\le 35-20$
$x\le 15$
A closed circle at $15$ and the red line goes to the left, indicating that $x$ is less than or equal to $15.$

Maximum number of seats reserved for women is 15.
Therefore, option (c.) is the correct.