bonanova Posted January 24, 2008 Report Share Posted January 24, 2008 8 Foos and 14 Bars can build 510 Fartz in 10 hours. 13 Foos and 6 Bars can build 492 Fartz in 12 hours. At what rates do Foos & Bars individually build Fartz? Express your answers in Fartz per hour. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 24, 2008 Report Share Posted January 24, 2008 Foos build 2 fartz per hour and Bars build 2.5 fartz per hour. Quote Link to comment Share on other sites More sharing options...
0 unreality Posted January 24, 2008 Report Share Posted January 24, 2008 f = foo b = bar f/h = Fartz per hour 8f + 14b = 51 f/h 13f + 6b = 41 f/h 51/41 = 1.2439 multiply 13f and 6b by this number so that both sides equal 51 f/h and you can set them equal to each other: 8f + 14b = 51 f/h 16.1707f + 7.463b = 51 f/h thus: (8f + 14b) = (16.1707f + 7.463b) subtract 8f and 14b from both sides 0 = 8.1707f - 6.537b add 6.537b to both sides 6.537b = 8.1707f multiply by a thousand for simplicity 6537b =approx= 8171f add them together: 14708 total divide by 51 to get 288.392 so now divide 6537 by 288.392 = 22.667 f/h for Bars divide 8171 by 288.392 = 28.333 f/h for Foos Am I even close? lol Quote Link to comment Share on other sites More sharing options...
0 Guest Posted January 24, 2008 Report Share Posted January 24, 2008 f = foo b = bar f/h = Fartz per hour 8f + 14b = 51 f/h 13f + 6b = 41 f/h 51/41 = 1.2439 multiply 13f and 6b by this number so that both sides equal 51 f/h and you can set them equal to each other: 8f + 14b = 51 f/h 16.1707f + 7.463b = 51 f/h thus: (8f + 14b) = (16.1707f + 7.463b) subtract 8f and 14b from both sides 0 = 8.1707f - 6.537b add 6.537b to both sides 6.537b = 8.1707f multiply by a thousand for simplicity 6537b =approx= 8171f add them together: 14708 total divide by 51 to get 288.392 so now divide 6537 by 288.392 = 22.667 f/h for Bars divide 8171 by 288.392 = 28.333 f/h for Foos Am I even close? lol You're not even close. Substitute your answers into the original questions, and you will easily see that they are incorrect. Bloody extravagent answer, though. 8f + 14b = 51 F/hr. 13f + 6b = 41 F/hr. Multiply the second equation by (-7/3) to get two equations with two variables that will cancel one variable when added together. -7/3(13f + 6b = 41 F/hr.) -> (-91/3)f - 14b = (-287/3) F/hr. Now add this to the first equation: (-91/3)f - 14b = (-287/3) F/hr. + 8f + 14b = 51 F/hr. -> (-67/3)f = (-134/3) F/hr. -> f = 2 F/hr. Substitute f = 2 into the either original equation. 8(2) + 14b = 51 F/hr. 16 + 14b = 51 F/hr. 14b = 35 F/hr. b = (5/2) F/hr. = 2.5 F/hr. Plug these rates into the original equations to check. Quote Link to comment Share on other sites More sharing options...
Question
bonanova
8 Foos and 14 Bars can build 510 Fartz in 10 hours.
13 Foos and 6 Bars can build 492 Fartz in 12 hours.
At what rates do Foos & Bars individually build Fartz?
Express your answers in Fartz per hour.
Link to comment
Share on other sites
3 answers to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.