{"id":"cb_question_bank:e86ba0c6-6b12-498f-b451-8f3c6401b662","source_id":"cb_question_bank","source_item_id":"e86ba0c6-6b12-498f-b451-8f3c6401b662","external_id":"f3910fb9-490b-407a-b587-704499bf653f","ibn":null,"question_id":"8213b1b3","program":"SAT","module":"math","domain_code":"Q","domain":"Problem-Solving and Data Analysis","skill_code":"Q.B.","skill":"Percentages","difficulty":"H","score_band":7,"answer_type":"spr","answer_source":"key","layout_warning":null,"form_id":null,"module_number":null,"position":null,"stem":"According to a set of standards, a certain type of substance can contain a maximum of 0.001 percent sign phosphorus by mass. If a sample of this substance has a mass of 140 grams, what is the maximum mass, in grams, of phosphorus the sample can contain to meet these standards?","stimulus":"","stimulus_html":null,"stem_html":"<p style=\"text-align: left;\">According to a set of standards, a certain type of substance can contain a maximum of <math alttext=\"0.001 percent sign\"><mn>0.001</mn><mo>%</mo></math> phosphorus by mass. If a sample of this substance has a mass of <math alttext=\"140\"><mn>140</mn>\n</math> grams, what is the maximum mass, in grams, of phosphorus the sample can contain to meet these standards?</p>","rationale_html":"<p style=\"text-align: left;\">The correct answer is <math alttext=\".0014\"><mo>.0014</mo></math>. It's given that a certain type of substance can contain a maximum of <math alttext=\"0.001 percent sign\"><mn>0.001</mn><mo>%</mo></math> phosphorus by mass to meet a set of standards. If a sample of the substance has a mass of <math alttext=\"140\"><mn>140</mn>\n</math> grams, it follows that the maximum mass, in grams, of phosphorus the sample can contain to meet the standards is <math alttext=\"0.001 percent sign\"><mn>0.001</mn><mo>%</mo></math> of <math alttext=\"140\"><mn>140</mn>\n</math>, or <math alttext=\"StartFraction 0.001 Over 100 EndFraction left parenthesis 140 right parenthesis\"><mfrac><mn>0.001</mn><mn>100</mn></mfrac><mfenced><mn>140</mn></mfenced></math>, which is equivalent to&nbsp;<math alttext=\"left parenthesis 0.00001 right parenthesis left parenthesis 140 right parenthesis\"><mfenced><mn>0.00001</mn></mfenced><mfenced><mn>140</mn></mfenced></math>, or <math alttext=\"0.0014\"><mn>0.0014</mn>\n</math>. Note that .0014 and 0.001 are examples of ways to enter a correct answer.</p>","correct_answer":[".0014"],"has_media":false,"has_mathml":true,"has_table":false,"source_created_at":"2023-08-02T20:25:59.831000+00:00","source_updated_at":"2023-08-02T20:25:59.831000+00:00","options":[],"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}}