Question

Sixty percent of the cost of the dining set is the same as one half the cost of the dining set decreased by $180. What is the cost of the dining set?

Answer 1

The cost of the dining set = $200

Explanation:

Let

Cost of the dining set=x

Sixty percent of the cost of the dining set

= 60% of x

=60/100 * x

= 0.6x

One half the cost of the dining set decreased by $180.

=1 1/2 of x - 180

= 1.5 * x - 180

= 1.5x - 180

Sixty percent of the cost of the dining set is the same as one half the cost of the dining set decreased by $180

0.6x = 1.5x - 180

Collect like terms

0.6x - 1.5x = -180

-0.9x = -180

Divide both sides by -0.9

x= -180 / -0.9

=200

x= $200

Check:

0.6x

= 0.6(200)

=120

1.5x - 180

=1.5(200) - 180

= 300 - 180

=120