Question

During your cycling trip, you and your friends often stayed in hostels. The prices of these are listed below.

Hostel Standard price per night With breakfast price per night
Super Sleep: $22.45 $28.65
Normandy Nights: $18.55 $25
ZZZola Hostels: $24.50 $30.99
Belgian Beds: $11.20 $18.55
Night-Time Rest Days: ??? $33

The mean average cost of a hostel is $20.60.
How much does a standard price night cost at Night-Time Rest Days?

What is the range in cost of stays for a single night, including both standard prices and with breakfast prices?

Answer 1

• a) NTRD standard price = $26.30
• b) range: $11.20 to $33.00, a range of $21.80

Explanation:

a) The average is the sum divided by the number of contributors. Let n represent the standard price at Night-Time Rest Days. Then ...

... ($22.45 +18.55 +24.50 +11.20 +n)/5 = $20.60

... 76.70 + n = 103.00 . . . . multiply by 5 and collect terms

... n = $26.30 . . . . standard price at NTRD

b) The lowest standard price is $11.20. The highest breakfast price is $33.00. The range is the difference between these ...

... $33.00 -11.20 = $21.80 . . . . range in cost for a single night