Question

After looking through different hotel options, Gabriela and Luis decided to estimate a budget of $1,200 for hotel costs. They want to stay 6 nights at a hotel. In addition, they know they should plan to pay $240 in taxes and tips. Let 'c' represent the total cost per night they should plan for the hotel.

What is the solution to the equation that represents this situation, considering the $1,200 budget for 6 nights and the additional $240 for taxes and tips? (Refer to the previous two questions as necessary.)"

Answer 1

Gabriela and Luis can plan for a cost of $200 per night for their hotel stay to remain within their budget of $1,200 for 6 nights, plus the additional $240 for taxes and tips.

Step-by-step explanation:

Gabriela and Luis are trying to calculate the total cost per night for their hotel stay within their budget. First, we must acknowledge that the overall budget includes both the hotel cost and additional costs for taxes and tips. They have allocated $1,200 for the hotel stay over 6 nights and an additional $240 for taxes and tips.

To find the cost per night (represented as 'c'), we need to create an equation that factors in the total budget for the hotel and the additional fees:

• The total budget allocated for the hotel stay, including taxes and tips: $1,200 + $240 = $1,440
• The total number of nights they plan to stay: 6 nights

Now, you can set up the equation as follows:

(Total Cost Per Night) × (Number of Nights) + (Additional Costs) = Total Budget

c × 6 + $240 = $1,440

Now, solve for 'c':

• c × 6 = $1,440 - $240
• c × 6 = $1,200
• c = $1,200 / 6
• c = $200

Therefore, Gabriela and Luis should plan for a cost of $200 per night for the hotel to stay within their budget.