Q:

56 people graduation party rent 5 tables round or rectangle Each round table seat 8 people and each rectangle table seats 12 people. How many round and rectangle tables should you rent?

Accepted Solution

A:
1 round and 4 rectangle tables should be rented.Step-by-step explanation: Total number of people = 56Let, Round table = xRectangle table = yOne round table seat = 8 peopleOne rectangle table seat = 12 peopleAccording to given statement; x+y=5 Β  Eqn 18x+12y=56 Β  Eqn 2Multiplying 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, subtractionLearn more about linear equations at:brainly.com/question/5533462brainly.com/question/5565320#LearnwithBrainly