Question

A garden table and a bench cost $981 combined. The garden table costs $81 more than the bench. What is the cost of the bench?

Answer 1

The garden table costs $531 and the bench costs $450.

Explanation:

Let the cost of garden table be x and that of bench be y

Condition 1:

x + y = 981 ----------------(1)

Condition 2:

x = 81+y ----------------(2)

Putting (2) in (1)

=> 81+y+y = 981

=> 81+2y = 981

Subtracting 81 to both sides

=> 2y = 981-81

=> 2y = 900

Dividing both sides by 2

=> y = $450

Now,

x = 81+y

=> x = 81+450

=> x = $531

So, the garden table costs $531 and the bench costs $450.