Question

Pankaj is planning lunch for his wedding anniversary. At one restaurant, the cost per person for lunch is $\$15$, with an additional one-time set-up charge of $\$35$. Pankaj has a maximum budget of $\$150$. If $p$ represents the number of people (including Pankaj) who will attend the lunch, which of the following inequalities represents the number of people who can attend within budget?

• A. $15p\le 150+35$
• B. $35\le 150-15p$
• C. $15p\ge 150-35$
• D. $35\ge 150-15p$

Answer 1

Answer: (B)

$35\le 150-15p$

Given : Pankaj planned lunch in restaurant, the cost of lunch per person is $\$15$ and an additional charge one time set up of $\$35$

Then he invite $p$ people (including Pankaj ) ....... (Given)

Then total cost of lunch $=15p$

But Pankaj has a maximum budget of $\$150$

Then inequalities is

$35\le 150-15p$