Answer:
x = cost of a chair = £22
y = cost of a table = £65
£765
Step-by-step explanation:
Let
x = cost of a chair
y = cost of a table
4x + 2y = 218 (1)
6x + 7y = 587 (2)
Multiply (1) by 6 and (2) by 4
24x + 12y = 1,308 (3)
24x + 28y = 2,348 (4)
Subtract (3) from (4) to eliminate x
28y - 12y = 2,348 - 1,308
16y = 1,040
y = 1,040/16
y = 65
Substitute y = 65 into (1)
4x + 2y = 218 (1)
4x + 2(65) = 218
4x + 130 = 218
4x = 218 - 130
4x = 88
x = 88/4
x = 22
x = cost of a chair = £22
y = cost of a table = £65
Find the total cost of buying twenty chairs and five tables
20x + 5y
Substitute the values of x and y
20x + 5y
= 20(22) + 5(65)
= 440 + 325
= £765
