Question

A garden table and a bench cost 607 combined. The garden table costs 43 less than the bench. What is the cost of the bench?

Answer 1

Answer is 564

607-40=567

567-3=564

Answer 2

For this case we must find the cost of the bench, then:

Let "x" be the variable that represents the cost of the garden table.

Let "y" be the variable that represents the cost of the bench

If both cost $ 607 we have:

`x + y = 607` (1)

Now if the garden table costs $ 43 less than the bench then:

`x = y-43` (2)

Thus, we have a system of two equations with two unknowns;

Substituting (2) in (1):

`y-43 + y = 607\\2y = 607 + 43\\2y = 650\\y = \frac {650} {2}\\y = 325`

So, the bench costs $ 325

Answer:

$ 325