Word problem with 2 unknowns using linear equation..

Question

A garden table and a bench cost 645 combined. The garden table costs 55 less than the bench. What is the cost of the bench?

Answer 1

As with all systems of equation-type problems you need to create at least two equations. Here, you can do one for the total cost and one for the difference between the table and the bench.

1) T + B = 645

2) T = B - 55 or T - B = -55

Subtract the two equations and eliminate the T term: 2B = 700, B = $350

Then T = 350 - 55 = $295.

You can also use the substitution method: (B - 55) + B = 645

2B = 700, etc. (This method seems easier for this problem).