Question

A garden table and a bench cost 803 combined. The garden table costs 97 less than the bench. What is the cost of the bench?

Answer 1

bench costs 450

Explanation:

let the bench cost be b and cost of table be t, then

t = b - 97 ( 97 less than bench )

then sum the 2 items and equate to total cost , that is

t + b = 803 ( substitute t = b - 97 into the equation )

b - 97 + b = 803

2b - 97 = 803 ( add 97 to both sides )

2b - 97 + 97 = 803 + 97 ( simplify )

2b = 900 ( divide both sides by 2 )

`(2)/(2)` b =
`(900)/(2)` , that is b = 450

the cost of the bench is 450