A garden table and a bench cost $981 combined. The garden table costs $81 more than the bench. What is the cost of the bench?

The garden table costs $531 and the bench costs $450.

Step-by-step explanation:

Let the cost of garden table be x and that of bench be y

Condition 1:

x + y = 981   (1)

Condition 2:

x = 81+y       (2)

Putting (2) in (1)

=> 81+y+y = 981

=> 81+2y = 981

Subtracting 81 to both sides

=> 2y = 981-81

=> 2y = 900

Dividing both sides by 2

=> y = $450

Now,

x = 81+y

=> x = 81+450

=> x = $531

So, the garden table costs $531 and the bench costs $450.

your answer is a

step-by-step explanation:

4*4*4*4=256

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584