Charlie , a frequent business traveler, is considering signing up for hotel reward program. Hotel Elegance is currently offering 50 points for signing up, plus 15 points for every night charlie books at the hotel. Alternatively , hotel Paradiso is offering a sign-up bonus of 250 points, plus 5 points per night. If charlie books a certain number of nights, points he earns the hotel will be the same. How many points will he have

350 points.      

Step-by-step explanation:

Given:

Charlie , a frequent business traveler, is considering signing up for hotel reward program.

Hotel Elegance is currently offering 50 points for signing up, plus 15 points for every night charlie books at the hotel.

Alternatively , hotel Paradiso is offering a sign-up bonus of 250 points, plus 5 points per night.

If charlie books a certain number of nights, points he earns the hotel will be the same.

Question asked:

How many points will he have ?

Solution:

Let Charlie books for number of nights =

Hotel Elegance is offering = 50 points for signing up + 15 points for every night

Total points, Charlie can earn from this hotel

Similarly, Charlie can earn from hotel Paradiso =

As given, that for certain number of nights, points he earns the hotel will be the same. Hence, the equation will be:-

By substituting the value:-

Charlie books for number of nights = = 20

You can take any one equation as both are equal.

Number of points, he will get  

Thus, he will have 350 points.      

they can both be solutions depends on the equation

step-by-step explanation:

what is the equation? ?

answer:

total cost for tiles and paints is $924.  

step-by-step explanation:

we have been given that a community hall is in the shape of a cuboid. the hall is 40m long 15m high and 3m wide.

the paint will be required for 4 walls and ceiling.

let us find area of walls and ceiling.

therefore, the area of walls and ceiling is 1410 square meters.

given: cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. therefore,

therefore, the total painting cost is $564.

tiles will be required for floor. let us find the area of floor.

given: 1m squared floor tiles costs $3. so,

therefore, the total tiles cost is $360.

now let us find combined total cost of tiles and paint.

therefore, the combined total cost of tiles and paint is $924.