1 round and 4 rectangle tables should be rented.
Step-by-step explanation:
Total number of people = 56
Let,
Round table = x
Rectangle table = y
One round table seat = 8 people
One rectangle table seat = 12 people
According to given statement;
x+y=5 Eqn 1
8x+12y=56 Eqn 2
Multiplying Eqn 1 by 8
[tex]8(x+y=5)\\8x+8y=40\ \ \ Eqn 3\\[/tex]
Subtracting Eqn 3 from Eqn 2;
[tex](8x+12y)-(8x+8y)=56-40\\8x+12y-8x-8y=16\\4y=16[/tex]
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{16}{4}\\y=4[/tex]
Putting y=4 in Eqn 1
[tex]x+4=5\\x=5-4\\x=1[/tex]
1 round and 4 rectangle tables should be rented.
Keywords: Linear equation, subtraction
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