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.



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar




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 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 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?
  • Beds
    stan 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?
  • 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?
  • My father
    tree3 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.
  • Ski lessons
    skiing the ski course attends 80 pupils. They live in triple and quadruple rooms. Count if rooms are the 23. How many are triple and quadruple rooms?
  • 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?
  • 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?
  • No solutions
    eq1 Why does the equation 9-2x-9-16x=-14x-7-4x-11 have no solutions?
  • The sum 16
    eq2_fx The sum of A and B is 36. The difference of A & B is 8. find the larger number of A.
  • 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?
  • 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?
  • Sixteen
    plusminus Sixteen minus the quotient of 12 and what number is thirteen?
  • Mrs. Zarka
    pie Mrs. Zarka has 3 pies for a party. She calculates that if she splits the pies evenly among the guests, they will each receive 1/6 of a pie. How many guests are there?