Question

A garden table and a bench cost $714 combined. The garden table costs $64 more than the bench. What is the cost of the bench?

Answer 1

Bench: $325

Garden Table: $389

Explanation:

g + b = 714 Eq. 1

g = b + 64 Eq. 2

g = cost of the garden table

b = cost of the bench

Replacing Eq.2 in Eq.1

(b+64) + b = 714

2b + 64 = 714

2b = 714 - 64

2b = 650

b = 650/2

b = 325

from the Eq. 2

g = b + 64

g = 325 + 64

g = 389

Check:

from the Eq. 1

g + b = 714

389 + 325 = 714

Answer 2

The bench costs $325

Explanation:

let garden table = x

let bench = y

x = y+64

x+y = 714

y+y+64 = 714 (we know, x = y+64)

2y + 64 = 714

2y = 650

y = 325