Math

QuestionIs the Hotel Capitale's weekly rate of 85,010 RP mid-range compared to \125to$175?Use125 to \$175? Use 1 \mathrm{RP}=\0.0147 0.0147 to calculate.

Studdy Solution

STEP 1

Assumptions1. The cost of one night at a mid-range hotel in Capital City, Republica is between 125and125 and 175 US. . The Hotel Capitale offers a one-week rental for85,010 RP (Republicaounds).
3. The current exchange rate is 1RP=1 RP = 0.0147 US.
4. We need to find if the price per night at the Hotel Capitale falls within the mid-range hotel price.
5. A week is considered to have7 days.

STEP 2

First, we need to convert the cost of the one-week rental from Republicaounds to US dollars. We can do this by multiplying the cost in RP by the exchange rate.
CostinUSdollars=CostinRPtimesExchangerateCost\, in\, US\, dollars = Cost\, in\, RP \\times Exchange\, rate

STEP 3

Now, plug in the given values for the cost in RP and the exchange rate to calculate the cost in US dollars.
CostinUSdollars=85,010RPtimes$0.0147US/RCost\, in\, US\, dollars =85,010\, RP \\times \$0.0147\, US/R

STEP 4

Calculate the cost in US dollars.
CostinUSdollars=85,010RPtimes$0.0147US/R=$1,249.65USCost\, in\, US\, dollars =85,010\, RP \\times \$0.0147\, US/R = \$1,249.65\, US

STEP 5

Now that we have the cost for one week in US dollars, we can find the cost per night by dividing the weekly cost by the number of days in a week (7).
Costpernight=Costforoneweek/NumberofdaysinaweekCost\, per\, night = Cost\, for\, one\, week / Number\, of\, days\, in\, a\, week

STEP 6

Plug in the values for the cost for one week and the number of days in a week to calculate the cost per night.
Costpernight=$1,249.65/Cost\, per\, night = \$1,249.65 /

STEP 7

Calculate the cost per night.
Costpernight=$1,249.65/7=$178.52USCost\, per\, night = \$1,249.65 /7 = \$178.52\, US

STEP 8

Now that we have the cost per night at the Hotel Capitale, we can compare this with the cost of one night at a mid-range hotel in Capital City, Republica. If the cost per night at the Hotel Capitale is between 125and125 and 175 US, then it is a mid-range hotel.
The cost per night at the Hotel Capitale is $178.52 US, which is slightly above the upper limit for a mid-range hotel in Capital City, Republica. Therefore, based on the given price range for mid-range hotels, the Hotel Capitale is not considered a mid-range hotel.

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