4 chairs and 2 tables cost £218 Six chairs and seven tables cost £587 find the total cost of buying 20 chairs and 5 tables

Answer 1

Let x = the cost of a chair

Let y = the cost of a table

4x + 2y = 218 Multiply both sides of this equation by -7.

-28x - 14y = -1526 (EQ#1)

6x + 7y = 587 Multiply both sides of this equation by 2

12x + 14y = 1174 (EQ#2)

Now add equations #1 and #2 together.

-28x - 14y = -1526

12x + 14y = 1174

16x = 352

x = $22, I know it's not dollars but that other icon doesn't exist on the website anymore.

4(22) + 2y = 218

88 + 2y = 218

2y = 130

y = $65

20x + 5y = 20(22) + 5(65) = 440 + 325 = $765