Thread: Total Revenue of Store

The following problem threw me in for a loop.
I need help not only with the equation set up but a step by step explanation leading to the set up.

A furniture store sells only two models of desks, model A and model B. The selling price of model A is 120 dollars, which is 30 percent of the selling price of model B. If the furniture store sells 2,000 desks, 3/4 of which are model B, what is the furniture store's total revenue from the sale of desks?

I can let x be the total revenue from the sale of desks.

Can someone break this problem down one step at a time? Providing the equation set up is ok but does not clarify the problem at hand.

Originally Posted by harpazo

The following problem threw me in for a loop.
I need help not only with the equation set up but a step by step explanation leading to the set up.

A furniture store sells only two models of desks, model A and model B.

The selling price of model A is 120 dollars, which is 30 percent of the selling price of model B. Ok, so what is the selling price of model B?


If the furniture store sells 2,000 desks, 3/4 of which are model B, what is the furniture store's total revenue from the sale of desks? Ok, so how many of each model are sold?

I can let x be the total revenue from the sale of desks.

Can someone break this problem down one step at a time? Providing the equation set up is ok but does not clarify the problem at hand.

After you do those steps, you should be able to complete the problem.

Originally Posted by Debsta

After you do those steps, you should be able to complete the problem.

Price of Desk A = $120 = 0.3(Price Of Desk B)

Price of Desk B = $120 / 0.3 = $400

(3/4)(2000) = 1500 Units Of Desk B Sold
(1/4)(2000) = 500 Units Of Desk A Sold

Total Revenue = $120(500) + $400(1500) = $660,000

Bit hard to read, but answer is correct (after you add the unit "dollars").

Originally Posted by Debsta

Bit hard to read, but answer is correct (after you add the unit "dollars").

Price of Desk A = 120 dollars = 0.3(Price Of Desk B)

Price of Desk B = 120 dollars / 0.3 = 400 dollars

(3/4)(2000) = 1500 Units Of Desk B Sold
(1/4)(2000) = 500 Units Of Desk A Sold

Total Revenue = (120 dollars)(500) + (400 dollars)(1500) = 660,000 dollars