Capacity 83398

The hotel has 210 rooms, with 3 beds and 2 beds, and a capacity of 470 places. How much are 2 beds and 3 beds?

Correct answer:

a =  160
b =  50

Step-by-step explanation:

a+b=210 2a+3b=470  a+b=210 2 a+3 b=470  a+b=210 2a+3b=470  Pivot:Row1Row2 2a+3b=470 a+b=210  Row212 Row1Row2 2a+3b=470 0.5b=25  b=250.5=50 a=4703b2=4703 502=160  a=160 b=50a+b = 210 \ \\ 2a+3b = 470 \ \\ \ \\ a+b = 210 \ \\ 2 \cdot \ a+3 \cdot \ b = 470 \ \\ \ \\ a+b = 210 \ \\ 2a+3b = 470 \ \\ \ \\ Pivot: Row 1 ↔ Row 2 \ \\ 2a+3b = 470 \ \\ a+b = 210 \ \\ \ \\ Row 2 - \dfrac{ 1 }{ 2 } \cdot \ Row 1 → Row 2 \ \\ 2a+3b = 470 \ \\ -0.5b = -25 \ \\ \ \\ b = \dfrac{ -25 }{ -0.5 } = 50 \ \\ a = \dfrac{ 470-3b }{ 2 } = \dfrac{ 470-3 \cdot \ 50 }{ 2 } = 160 \ \\ \ \\ a = 160 \ \\ b = 50



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







Tips for related online calculators
Do you have a linear equation or system of equations and are 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: