Question

a garden table and a bench table cost $741 combined.The garden table costs $41 more than the bench.What is the cost of the bench?

Answer 1

The bench table has a certain cost "x"

The garden table costs $41 more than the bench, you can symbolize its cost as "x+41"

Together, both cost $741, you can express the total cost as follows:

`x+(x+41)=741`

From this expression, you can determine the value of x, first, erase the parentheses and simplify the like terms:

`\begin{gathered} x+x+41=741 \\ 2x+41=741 \end{gathered}`

Second, pass 41 to the right side of the equation by applying the opposite operation to both sides of it:

`\begin{gathered} 2x+41-41=741-41 \\ 2x=700 \end{gathered}`

Divide both sides by 2 to determine the value of x:

`\begin{gathered} (2x)/(2)=(700)/(2) \\ x=350 \end{gathered}`

The bench table costs x= $350

And the garden tbale costs x+41= 350+41= $391