Answer:
No. of large rooms = 7
No. of small rooms = 14
Set of equations
4x + 3y = 70
y = 2x
Variable definitions
No. of large rooms is x
No. of small rooms is y
Step-by-step explanation:
capacity of large rooms = 4 people
let the no. of large rooms be x
thus, total no of people which can be accommodated in x rooms = 4*x = 4x
capacity of small rooms = 3 people
let the no. of small rooms be y
thus, total no of people which can be accommodated in y rooms = 3*y = 3y
total no. of people which can be accommodated in x large room and y small room will be = 4x + 3y
It is given that total small room and large room can accommodate 70 guests
thus,
4x + 3y = 70 _________equation 1
_________________
It is also given that Jose reserved twice as many small rooms as large rooms,
so, if no. of large rooms is x and no. of small rooms is y
then
y = 2x _________equation 2
substituting value of y in equation 1 we have
4x + 3(2x) = 70
=>4x + 6x = 70
=> 10x = 70
=> x = 70/10 = 7
No. of large rooms = 7
No. of small rooms = y= 2x = 2*7 = 14
Set of equations
4x + 3y = 70
y = 2x
Variable definitions
No. of large rooms is x
No. of small rooms is y
