Respuesta :
Answer:
A=0, 3, 6, 9, 12, 15
B=25, 20, 15, 10, 5, 0
Step-by-step explanation:
10*A + 6*B = 150
B=150/6 - (10 * A/ 6) = 25 - (5 * A / 3)
A should be one of the multiple of 3
A=0, 3, 6, 9, 12, 15
B=25, 20, 15, 10, 5, 0
Ans: (0, 25) or (3, 20) or (6, 15) or (9, 10) or (15, 0)
The combination of tables is required.
The points are [tex](0,25),(15,0),(3,20),(9,10),(6,15)[/tex]
The number of large tables is [tex]x[/tex]
The number of small tables is [tex]y[/tex]
Large tables seat 10 people
Small tables seat 6 people
Total number of people is 150.
The equation will be
[tex]10x+6y=150[/tex]
Let us find two points of the line
[tex]x=0[/tex]
[tex]y=\dfrac{150}{6}=25[/tex]
[tex]y=0[/tex]
[tex]x=\dfrac{150}{10}=15[/tex]
The two points are [tex](0,25)[/tex] and [tex](15,0)[/tex]
Plot it on a graph sheet and join the points.
Find the whole number points on the line in first quadrant as negative number of people is not possible.
The values on the line will give use the required points.
The points are [tex](0,25),(15,0),(3,20),(9,10),(6,15)[/tex]
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