Solving a word problem with two unknowns using a linear...
A garden table and a bench cost $$ 661$ combined. The garden table costs $$ 89$ less than the bench. What is the cost of the bench?

Answer

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Answer

So, the cost of the bench is $375$ .

Steps

Step 1 ：Let's denote the cost of the bench as x and the cost of the garden table as y.

Step 2 ：We know that the garden table and the bench cost $661 combined. This gives us the equation: $x + y = 661$

Step 3 ：We also know that the garden table costs $89 less than the bench. This gives us the equation: $y = x - 89$

Step 4 ：We can solve this system of equations to find the cost of the bench (x) and the garden table (y).

Step 5 ：The solution to the system of equations is $x = 375$ and $y = 286$ .

Step 6 ：So, the cost of the bench is $375$ .