| Property address | Purchase price (dollars) | Monthly rental price (dollars) |
|---|---|---|
| Clearwater Lane | 128,000 | 950 |
| Driftwood Drive | 176,000 | 1,310 |
| Edgemont Street | 70,000 | 515 |
| Glenview Street | 140,000 | 1,040 |
| Hamilton Circle | 450,000 | 3,365 |
The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations. Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?
\n","rationale_html":"Choice B is correct. Let x be the original price, in dollars, of the Glenview Street property. After the 40% discount, the price of the property became dollars, and after the additional 20% off the discounted price, the price of the property became
. Thus, in terms of the original price of the property, x, the purchase price of the property is
. It follows that
. Solving this equation for x gives
. Therefore, of the given choices, $291,700 best approximates the original price of the Glenview Street property.
Choice A is incorrect because it is the result of dividing the purchase price of the property by 0.4, as though the purchase price were 40% of the original price. Choice C is incorrect because it is the closest to dividing the purchase price of the property by 0.6, as though the purchase price were 60% of the original price. Choice D is incorrect because it is the result of dividing the purchase price of the property by 0.8, as though the purchase price were 80% of the original price.
\n","correct_answer":["B"],"has_media":true,"has_mathml":false,"has_table":true,"source_created_at":"2023-08-02T20:25:59.632000+00:00","source_updated_at":"2023-08-02T20:25:59.632000+00:00","options":[{"label":"A","content_html":"$350,000
\n","ord":0},{"label":"B","content_html":"$291,700
\n","ord":1},{"label":"C","content_html":"$233,300
\n","ord":2},{"label":"D","content_html":"$175,000
\n","ord":3}],"attribution":{"source_id":"cb_question_bank","source_name":"College Board digital SAT question bank (community dump)","rights_holder":"College Board","canonical_url":"https://satsuitequestionbank.collegeboard.org/","retrieved_from":"https://raw.githubusercontent.com/mdn522/sat-question-bank/main/data/cb-digital-questions.json","attribution":"SAT practice questions © College Board, from the official SAT Suite Question Bank. Retrieved via the community dump at github.com/mdn522/sat-question-bank.","disclaimer":"SAT® and PSAT/NMSQT® are trademarks registered by the College Board, which is not affiliated with, does not sponsor, and does not endorse this project.","license":"College Board copyright; source repository carries no licence. Local use only.","redistributable":false,"item_count":2017}}