Elementary Algebra

Sumeru Paul

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Mrs. Barr sold her house for 120,000$. How much did the house cost her if her loss was a) one-third of the cost, b) 20 percent of the cost?
Ans a)$180,000 b)$150,000

Can seem to figure this out..... Need help.
 
Mrs. Barr sold her house for 120,000$. How much did the house cost her if her loss was a) one-third of the cost, b) 20 percent of the cost?
Ans a)$180,000 b)$150,000

Can seem to figure this out..... Need help.
Hint: ............... selling price = (original cost) - (amount of loss)

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
 
Let her original cost be "C". Since she lost money on the sale her selling price must be less than her cost. In fact, by definition of "loss" the selling price must be C minus her loss.

a) Her loss is "one third of the cost", (1/3)C= C/3. Her selling price must be C- C/3= (1- 1/3)C= (2/3)C= 120000. Solve for C by multiplying both sides by 3/2.

b) Her loss is "20 percent of the cost", 0.20C. Her selling price must be C- 0.20C= (1- 0.20)C= 0.80C= 120000. Solve for C by dividing both sides by 0.80.
 
Hint: ............... selling price = (original cost) - (amount of loss)

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:


Please share your work/thoughts about this problem.
Extremely sorry for the delayed response, but I could not seem to figure out an equation using the variable C, cost.
 
Thank you understood the problem, it was fairly straightforward now that I look back.
Let her original cost be "C". Since she lost money on the sale her selling price must be less than her cost. In fact, by definition of "loss" the selling price must be C minus her loss.

a) Her loss is "one third of the cost", (1/3)C= C/3. Her selling price must be C- C/3= (1- 1/3)C= (2/3)C= 120000. Solve for C by multiplying both sides by 3/2.

b) Her loss is "20 percent of the cost", 0.20C. Her selling price must be C- 0.20C= (1- 0.20)C= 0.80C= 120000. Solve for C by dividing both sides by 0.80.
 
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