Question

A garden table and a bench cost $912 combined. The garden table costs $38 less than the bench. What is the cost of the bench?

Answer 1

Answer: $475

Explanation:

Let cost of a Garden Table be ‘x’
Let cost of a Bench be ‘y’

Framing the Equations :-

=> x + y = 912 (Eq. 1)

x = y - 38
=> x - y = -38 (Eq. 2)

On Adding Eq. 1 and Eq. 2, we get :-

2x = 874
x = 874/2
=> x = 437

Therefore, x = 437

Substitute value of ‘x’ in Eq. 1 :-

x + y = 912
437 + y = 912
y = 912 - 437
=> y = 475

Therefore, y = 475

Hence,
Cost of Garden Table = $437
Cost of Bench = $475