A) A doctor recommends that a patient take 50 mg each of niacin, riboflavin, and thiamin daily to alleviate a vitamin deficiency. In his medicine chest at home, the patient finds three brands of vitamin pills. The amounts of the relevant vitamins per pill are given in the table. How many of each type should he take every day to get 50 mg of each vitamin?B) A chemist has three acid solutions at various concentrations. The first is 10% acid, the second is 20%, and the third is 40%. How many millimeters of each should she use to make 100 mL of 18% solution, if she has to use four times as much as the 10% solution as the 40% solution? 3. SET UP BUT DO NOT SOLVE. Modeling with Linear SystemsLinear equations, often containing hundreds or even thousands of variables, occur frequently in theapplications of algebra to the sciences and to other fields.Steps:Read the problem and define three variables to represent the unknowns in the problem.Find a system of equations for each of the situations below.SET UP BUT DO NOT SOLVE.a. A doctor recommends that a patient take 50 mg each of niacin, riboflavin, and thiamindaily to alleviate a vitamin deficiency. In his medicine chest at home the patient findsthree brands of vitamin pills. The amounts of the relevant vitamins per pill are given inthe table. How many of each type should he take every day to get 50 mg of eachvitamin?VitaMaxViltronVitaPlusNiacin (mg)Riboflavin (mg)Thiamin (mg)510151520101010b. A chemist has three acid solutions at various concentrations. The firs is 10% acid, thesecond is 20%, and the third is 40%. How many millimeters of each should she use tomake 100 mL of 18% solution, if she has to use four times as much as the 10% solutionas the 40% solution?

Answered: A) A doctor recommends that a patient…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.1: The Graphing Method

Problem 3CE

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A) A doctor recommends that a patient take 50 mg each of niacin, riboflavin, and thiamin daily to alleviate a vitamin deficiency. In his medicine chest at home, the patient finds three brands of vitamin pills. The amounts of the relevant vitamins per pill are given in the table. How many of each type should he take every day to get 50 mg of each vitamin?

B) A chemist has three acid solutions at various concentrations. The first is 10% acid, the second is 20%, and the third is 40%. How many millimeters of each should she use to make 100 mL of 18% solution, if she has to use four times as much as the 10% solution as the 40% solution?