Question

Jennifer is planning a holiday. The hotel costs $130 per night and her flight costs $600. She has a budget of $2,000 for hotel and flights. This means Jennifer can spend a maximum of $2000 only. Set up an inequality with ‘x’ representing the number of nights.

Answer 1

Given:

(i) The hotel costs $130 per night.

(ii) Cost of her flight is $600.

(iii) Jennifer's total budget is $2000 for hotel and flights.

To find:

(i) The inequality with 'x' representing the number of nights she can stay.

Solution:

Total budget is $2000.

She has already spent $600 on flights.

So, money left with her = $(2000-600)

= $1400.

Now, with this money, she needs to spend the nights in a hotel, which costs $130 per night.

So, the maximum number of nights she can stay

= Money left/Cost per night

= 1400/130

= 10.76

≈ 10                 [As number of nights cant be fractional]

So, she can stay at the most 10 nights if not less.

The corresponding inequality is:

x ≤ 10