momto4kings Posted February 17, 2011 Share Posted February 17, 2011 The answer is $35 and I can get it by using algebra. How do I solve this without algebra? "John and Paul spent $45 altogether. John and Henry spent $65 altogether. If Henry spent 3 times as much as Paul, how much did John spend? " Quote Link to comment Share on other sites More sharing options...
plain jane Posted February 17, 2011 Share Posted February 17, 2011 (edited) I'll take a stab at this. I'm not so great at the bar diagrams online. :tongue_smilie: Set up the problem like this: <----$45------> [--John--][Paul] [--John--][Paul]<-$65-$45-> <---------$65----------- ---> [--John--][Paul][Paul][Paul] [--John--]<---Henry-------> The difference between John/Paul and John/Henry is 2 units, which is equivalent to $65-$45 ($20). 2 Units = $20 Therefore 1 Unit (Paul) = $10 If Paul ($10) and John spent $45 together, then $45-$10= $35 spent by John Henry spent 3 x $10 ($30). With John they spent $65. So $65-$30 = $35 Edited February 17, 2011 by plain jane Quote Link to comment Share on other sites More sharing options...
trying my best Posted February 17, 2011 Share Posted February 17, 2011 (edited) what do you mean without algebra? Will this be algebra? j+p= 45 j+h=65 h=3p j+p=45 j+3p=65 j=45-p 45-p+3p=65 j=45-p 2p=20 p=10 j=45-10 j=35 WOULD THIS BE ALGEBRA? Edited February 17, 2011 by trying my best Quote Link to comment Share on other sites More sharing options...
momto4kings Posted February 17, 2011 Author Share Posted February 17, 2011 By "without algebra" I mean without setting up a system of equations using x and y BUT by using bar diagrams. Quote Link to comment Share on other sites More sharing options...
momto4kings Posted February 17, 2011 Author Share Posted February 17, 2011 I'll take a stab at this. I'm not so great at the bar diagrams online. :tongue_smilie: Set up the problem like this: <----$45------> [--John--][Paul] [--John--][Paul]<-$65-$45-> <---------$65----------- ---> [--John--][Paul][Paul][Paul] [--John--]<---Henry-------> The difference between John/Paul and John/Henry is 2 units, which is equivalent to $65-$45 ($20). 2 Units = $20 Therefore 1 Unit (Paul) = $10 If Paul ($10) and John spent $45 together, then $45-$10= $35 spent by John Henry spent 3 x $10 ($30). With John they spent $65. So $65-$30 = $35 Thanks! That's it! Quote Link to comment Share on other sites More sharing options...
trying my best Posted February 17, 2011 Share Posted February 17, 2011 By "without algebra" I mean without setting up a system of equations using x and y BUT by using bar diagrams. lol oh by bad! We never learned Bar Diagrams in school :confused: in Russia they only taught us by algebra... Something to learn for me :tongue_smilie:here. Quote Link to comment Share on other sites More sharing options...
plain jane Posted February 17, 2011 Share Posted February 17, 2011 Do the bar things confuse you too? Gosh I don't know what it is but the bar diagrams do NOT speak to me. I've been using SM since K and it's only been this year that the bar diagrams are starting to speak to me in any sort of language that makes sense. :tongue_smilie: I still can't wrap my head around a lot of them but I must say that when they click, it's a darn good feeling. Quote Link to comment Share on other sites More sharing options...
Capt_Uhura Posted February 17, 2011 Share Posted February 17, 2011 I've been using SM since K and it's only been this year that the bar diagrams are starting to speak to me in any sort of language that makes sense. :tongue_smilie: I still can't wrap my head around a lot of them but I must say that when they click, it's a darn good feeling. :iagree: Quote Link to comment Share on other sites More sharing options...
momto4kings Posted February 18, 2011 Author Share Posted February 18, 2011 Well, this is the first problem that I just could not do with the bar diagrams. Part of it was the pressure I felt from my son, saying, "See, even you can't do it. It's too hard for me". I guess I'll just have to start doing the word problems ahead of time. Quote Link to comment Share on other sites More sharing options...
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