Knowledge Check

Question

A garden table and a bench cost $ 888 combined . the garden table costs $ 62 less than the bench . What is the cost of the bench?

Answer 1

Hi Asontee

The bench costs $475

You are given the total cost of the table and bench together $888 and a relationship between the cost of the bench to that of the table. The table costs $62 less than the bench.One can also say that the bench costs $62 more than the table

Total cost = 888

Let Table = x

Let Bench = x + 62

Add them together to obtain the total

x + x + 62 = 888

Combine like terms

2x + 62 = 888

Subtract 62 from both sides of the equation

2x = 888 - 62

2x = 826

Divide both sides of the equation by 2

x = 826/2

x = 413 is the cost of the Table

x + 62 = 475 is the cost of the Bench

Checking

413 + 475 = 888

I hope your find this useful if you have any questions just send me a message.

Answer 2

The easiest way to solve this problem is to set up an equation that represents the situation and then solve for the variables:

We know that the cost of the Bench (b) and the cost of the table (t) add up to $888.00, so we can start with:

b + t = 888.

We also know that b is 62 more that t so we can write that as:

b = t + 62

But we want to know b, so we can solve for b:

b = t + 62

-62 -62

b - 62 = t

Then we can plug the value of t into the upper equation and solve for b:

b + t = 888.

b + b - 62 = 888

2b = 950

b= 475

So the bench is $475.00