cherishdisah
Answered

Welcome to Westonci.ca, where curiosity meets expertise. Ask any question and receive fast, accurate answers from our knowledgeable community. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Silver owns two houses in the same community. The ratio of the values of the first house to the second house is 10:15 respectively. It is estimated that in 6years, the value of the first house will increase by $3556 and that of the second house will increase by $30,825.00. If the new ratio is 3:4, find the original value of the first house.​

Sagot :

chibabykalu16

Answer:

-$156,502.

Step-by-step explanation:

Given:

  • The ratio of the first house to the second house = 10:15

After 6 years

  • First house will increase by $3556
  • The second house increased by $30,825.00

Let the original value of the first house be 10x and the second house be 15x (based on the initial ratio).

After 6 years, the value of the first house increases by $3556, making it 10x + 3556.

The value of the second house increases by $30,825, making it 15x + 30,825.

The new ratio is 3:4, so we can set up the equation:

(10x + 3556) / (15x + 30,825) = 3/4

Note: We're dividing based on the principle of ratio that 10:15 = 10/15

Cross-multiply and simplify:

40x + 14224 = 45x + 92475

Subtract 40x from both sides:

14224 = 5x + 92475

Subtract 92475 from both sides:

-78251 = 5x

Divide by 5:

x = -15650.2

Now, the original value of the first house is 10x:

10(-15650.2) = -$156,502

The calculated original value of the first house is −$156,502. This means there might be an error in the initial assumptions or a mistake in setting up the equations.

So, the original value of the first house is -$156,502.

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.