Question

A dresser and nightstand costs $500. If the dresser costs $200 more than the nightstand,what does each piece cost separately

Answer 1

The dresser costs $350

The nightstand costs $150

Step-by-step explanation

Let the price of the dresser be d dollars.

Let the price of the nightstand be n dollars.

The dresser and the nightstand together cost $500

d + n = 500

The dresser costs $200 more than the nightstand

d = n + 200

We can then write these two equations together to solve them

d + n = 500

d = n + 200

We can substitute the expression for d in the second equation into the first equation

d + n = 500

d = n + 200

n + 200 + n = 500

2n + 200 = 500

2n = 500 - 200

2n = 300

Divide both sides by 2

(2n/2) = (300/2)

n = 150

d = n + 200

= 150 + 200

= 350

Hope this Helps!!!