11 Plus Exams Forumhttps://www.elevenplusexams.co.uk/forum/11plus/ Simultaneous Equations Questionshttps://www.elevenplusexams.co.uk/forum/11plus/viewtopic.php?f=2&t=54496 Page 1 of 6

 Author: RedDevil66 [ Tue May 22, 2018 8:29 am ] Post subject: Simultaneous Equations Questions Some of you may know the type.EG.Andrew paid £12 for 4 cups of coffeeand 4 cups of tea. 3 cups of coffeecost as much as 2 cups of tea.What was the total cost of 5 cups oftea and 5 cups of coffee?.Is there any good practice for this type of question online or in a book?PS: I do know the answer and how to work it out The total cost of 5 cups of coffee and 5 cups of tea was £15

 Author: Surferfish [ Tue May 22, 2018 9:44 am ] Post subject: Re: Simultaneous Equations Questions I don't think you even need to know the second piece of information to work out the answer.If 4c + 4t = 12then c + t = 3.So 5c + 5t = 15.So in one sense its quite straightforward, but in another sense its a bit tricky because the question includes unnecessary information (that 3 cups of coffee costs the same as 2 cups of tea) and its natural to assume that you need to use this to work out the answer and to try and include it in your calculation.

 Author: Guest55 [ Tue May 22, 2018 9:45 am ] Post subject: Re: Simultaneous Equations Questions Make them up? They need no algebra to find the answer ...

 Author: Guest55 [ Tue May 22, 2018 9:50 am ] Post subject: Re: Simultaneous Equations Questions Surferfish wrote:I don't think you even need to know the second piece of information to work out the answer.If 4c + 4t = 12then c + t = 3.So 5c + 5t = 15.Please don't use algebra for this type - it's not needed.

 Author: Surferfish [ Tue May 22, 2018 9:55 am ] Post subject: Re: Simultaneous Equations Questions Guest55 wrote:Surferfish wrote:I don't think you even need to know the second piece of information to work out the answer.If 4c + 4t = 12then c + t = 3.So 5c + 5t = 15.Please don't use algebra for this type - it's not needed.How would you work out the answer then?

 Author: Guest55 [ Tue May 22, 2018 10:01 am ] Post subject: Re: Simultaneous Equations Questions You use your brain and note that the total of each item is the same."3 ice creams and 4 lollies cost £56 ice creams and 5 lollies cost £8.50How much does it cost to buy an ice cream and a lolly?"We can see we are buying 9 of each. This costs £13.50 so one of each costs £1.50.

 Author: stroudydad [ Tue May 22, 2018 10:06 am ] Post subject: Re: Simultaneous Equations Questions Guest55 wrote:You use your brain and note that the total of each item is the same."3 ice creams and 4 lollies cost £56 ice creams and 5 lollies cost £8.50How much does it cost to buy an ice cream and a lolly?"We can see we are buying 9 of each. This costs £13.50 so one of each costs £1.50.With the greatest of respect I think this confuses the OP. This is different to the question that was asked, because in the OP the cost of tea and coffee is not the same..Edit.... though I do agree that it is quite simple arithmetic that tea plus coffee is £3 so no algebra is required.

 Author: Surferfish [ Tue May 22, 2018 10:14 am ] Post subject: Re: Simultaneous Equations Questions Guest55 wrote:You use your brain and note that the total of each item is the same."3 ice creams and 4 lollies cost £56 ice creams and 5 lollies cost £8.50How much does it cost to buy an ice cream and a lolly?"We can see we are buying 9 of each. This costs £13.50 so one of each costs £1.50.But that is exactly the same as the way I did it.The "algebra" is just a neat, shorthand way of writing down the thought process which you went through and described in English words.

 Author: stroudydad [ Tue May 22, 2018 10:47 am ] Post subject: Re: Simultaneous Equations Questions Surferfish wrote:Guest55 wrote:You use your brain and note that the total of each item is the same."3 ice creams and 4 lollies cost £56 ice creams and 5 lollies cost £8.50How much does it cost to buy an ice cream and a lolly?"We can see we are buying 9 of each. This costs £13.50 so one of each costs £1.50.But that is exactly the same as the way I did it.The "algebra" is just a neat, shorthand way of writing down the thought process which you went through and described in English words.Perhaps G55 was referring to the OP which referenced simultaneous equations.

 Author: Guest55 [ Tue May 22, 2018 10:50 am ] Post subject: Re: Simultaneous Equations Questions Surferfish wrote:But that is exactly the same as the way I did it.The "algebra" is just a neat, shorthand way of writing down the thought process which you went through and described in English words.With respect, it is not - you introduced notation which was unnecessary and I'd mark it wrong as you did not define your variables.

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