Tourist cottage

The tourist cottage has 11 rooms for 16 guests, some of them are doubles, some singles. How many are double rooms and how many are single rooms?

Correct answer:

a =  5
b =  6

Step-by-step explanation:

11 = a+b
2a+1b = 16

11 = a+b
2•a+1•b = 16

a+b = 11
2a+b = 16

a = 5
b = 6

Our linear equations calculator calculates it.

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Do you have a linear equation or system of equations and looking for its solution? Or do you have a quadratic equation?

You need to know the following knowledge to solve this word math problem:

Related math problems and questions:

  • Hotel rooms
    hotel_3 In the 45 rooms, there were 169 guests. Some rooms were three-bedrooms and some five-bedrooms. How many rooms were there?
  • Triple and quadruple rooms
    hotel Up to 48 rooms, some of which are triple and some quadruple, accommodated 173 people so that all beds are occupied. How many triple and how many quadruple rooms were there?
  • The dormitory
    hotel_7 The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples.
  • Rings groups
    venn 27 pupils attend some group; dance group attends 14 pupils, 21 pupils sporty group and dramatic group 16 pupils. Dance and sporting attend 9 pupils, dance and drama 6 pupil, sporty and dramatic 11 pupils. How many pupils attend all three groups?
  • College
    harvard At the college are at 57 rooms 194 students. Some rooms are triple and some quad. How many triple and quadruple rooms there is, if it is all fully occupied?
  • Beds
    stan_3 At the summer camp, there are 41 chalets. Some rooms are 3-beds, some 4-beds. How many campers from 140 are living in 3-bed?
  • My father
    tree3_2 My father has a big farm. 6/8 of it were planted with mango trees, 1/2 of the remainder are guava trees and the rest 10 trees are santol trees. What is the number of all trees?
  • Hotel
    hotel The hotel has a p floors each floor has i rooms from which the third are single and the others are double. Represents the number of beds in hotel.
  • After 16 years
    diana After 16 years will Dana be five times older as she was four years ago. After how many years will Dana celebrate her 16th birthday?
  • Hotel
    postielka The rooms in the mountain hotel are double and triple. Double rooms are 25 and triple are 17 more. How many rooms are there in this hotel?
  • No solutions
    eq1 Why does the equation 9-2x-9-16x=-14x-7-4x-11 have no solutions?
  • Ski lessons
    skiing_2 On the ski course leaves 80 pupils. They live in triple and quadruple rooms. Count if rooms is the 23. How many are triple and quadruple rooms?
  • Cottages
    chatky The summer camp is 41 cottages. Rooms are for three and four in them. How many of the 140 campers lives of three?
  • James
    nine James paints a fence. If every day instead of 14 planks painted 16 would be done on one day earlier. How many of planks has a fence altogether?
  • Intersections
    intersect_circles How many intersections have circles with radius 16 mm and 15 mm, if the distance of their centers is 16 mm.
  • Soccer balls
    futball_ball Pupils in one class want to buy two soccer balls together. If each of them brings 12.50 euros, they will miss 100 euros; if each brings 16 euros, they will remain 12 euros. How many students are in the class?
  • Mother and son
    family_5 Mother is four times older than her son. In 16 years, the son will be two times younger than his mother. How many years are mother and son?