Question

WIE Ue A team of three students are working on a language-learning app; they need to develop 300 micro-lessons and 300 micro-tests before they can make their first release. Jordan can develop 10 lessons and 5 tests in a day; Marco can develop 5 lessons and 10 tests in a day; Junyi can develop 5 lessons and 8 tests in a day. (a) Write a system of equations that can be used to determine how long each team member must work to develop exactly 300 lessons and 300 tests. (b) Find the general solution to the system from (a). (c) Find the specific solutions if (i) Junyi gets sick, so can not work; (ii) Jordan gets a part-time job, and so can only work 10 hours. 7. (Tucker 5.1.14) Consider the chemical reaction: aPbN6+bCr Mn Og → Cr2O3 + dMnO2 + ePb304 +fNO (a) Write out a system of equations that can be used to balance the reaction. (b) Find the general solution to the system from (a). (c) Find the specific solution and pettintents are positive integers as small as possible in magnitude.

Answer 1

a PbN6 + b Cr Mn ₂ Og ta N - 6а т Mn - 23 б - &ь т т dmn02 telbzyt fas + C (220 Mnd Р) - Те Nf 0 + 2dt het ft30 Съ - 2с а е 2 ) (a=3e) (6a = f) (2Сер) Те са ее се: da 2 ,