Ask Question
14 February, 07:14

The total cost to buy one bed and one sofa is $1,530. A bed

costs twice as much as a sofa. A wardrobe costs three times as

much as a sofa. If the shopkeeper sold 4 beds and 2

wardrobes today, how much money did he make?

+3
Answers (1)
  1. 14 February, 07:23
    0
    By selling 4 beds and 2 wardrobes, the shopkeeper earns $7140.

    Step-by-step explanation:

    Here, Let the cost of 1 sofa = $m

    Cost of 1 bed + 1 sofa = $1530

    ⇒Cost of 1 bed = $1530 - $m = 1530 - m

    Also, Cost of bed = 2 x Cost of Sofa

    ⇒ 1530 - m = 2 m

    or, 3 m = 1530

    ⇒ m = 1530/3 = 510

    Hence, the cost of 1 sofa = $510

    Cost of wardrobe = 3 x Cost of Sofa = 3 ($m)

    = 3 x ($510) = $1530

    So, from above equations:

    Cost of 1 sofa = $510

    Cost of 1 bed = $1530 - m = $1530 - $510 = $1020

    Cost of 1 wardrobe = $1530

    Now, Total cost of 4 beds + 2 wardrobes

    = 4 (Cost of 1 bed) + 2 (cost of 1 wardrobe)

    = 4 ($1020) + 2 (1530) = 4080 + 3060

    = $7140

    Hence by selling 4 beds and 2 wardrobes, the shopkeeper earns $7140.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The total cost to buy one bed and one sofa is $1,530. A bed costs twice as much as a sofa. A wardrobe costs three times as much as a sofa. ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers