Question

A garden table and a bench cost $755 combined. The garden table costs $95 less than the bench. What is the cost of the bench?

Answer 1

The bench costs $425

Explanation:

First lets define our variables:

t = garden table

b = bench

Next, we have to use the information to create two formulas. One formula is for the cost of a garden table and a bench. The second is for the cost of the garden table.

t + b = 755

t = b - 95

For the next step, we can solve for be by using the second formula we created and replacing (t) in the first formula:

b - 95 + b = 755

2b - 95 = 755

2b = 850

bench = 425

To find out how much the cost of the cost of the table is, you can plug in the cost of the bench (b) back into the second equation:

t = b - 95

t = 425 - 95

table = 330

I hope this helps!

-TheBusinessMan