Agarden table and a bench coat $829 combined. the garden table costs $71 less than then bench. what is the cost of the bench?

Step-by-step explanation:

The equation for this situation is t + b = 829, where t is the table and b is the bench.  But that's too many unknowns for 1 equation.  Hence, we use the rest of the given info to write the expression for the table in terms of the bench.  If the table is 71 less than the bench, let b = bench then t = b - 71.  Now we can fill in the equation with only the unknown of b:

If t + b = 829, then b - 71 + b = 829 and

2b - 71 = 829 and

2b = 900 so

b = 450

That means that the bench costs $450 (the table has to cost $379 then, if it is $71 cheaper than the bench).

answer:

your answer is: c. 196 7/8 in^3.