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 Post subject: MathsPosted: Thu Jun 11, 2015 7:20 pm

Joined: Thu Mar 17, 2011 12:58 pm
Posts: 92
Maths help!!

Pens are sold at four for £5 and books are sold three for £4. Ken bought ann equal number of pens and books. He paid a total of £124. How many pens and books did he buy altogether?

Many Thanks.

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 Post subject: Re: MathsPosted: Thu Jun 11, 2015 7:30 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11696
Quote:
Pens are sold at four for £5 and books are sold three for £4.
Ken bought ann equal number of pens and books. He paid a total of £124.
How many pens and books did he buy altogether?

pens: 4 8 12 16 20 24 ....

books: 3 6 9 12 15 18 21 24 ...

Look for common multiples which are 12, 24, 36
Now try to see which gives the correct amount.
12 pens =
12 books =

24 pens = ..etc

Look for common multiple

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 Post subject: Re: MathsPosted: Thu Jun 11, 2015 7:38 pm

Joined: Thu Mar 17, 2011 12:58 pm
Posts: 92
Thank-you so much Guest55 , prompt and clear...much appreciated!!

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 Post subject: Re: MathsPosted: Thu Jun 11, 2015 7:39 pm

Joined: Fri Aug 30, 2013 7:30 am
Posts: 2231
Guest 55, I do like the way you help with us to work the answer out, rather than doing it for us! I'm feeling far too lazy to work it out tonight, but if I had a mind to, yours swer would really help, ta!

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 Post subject: Re: MathsPosted: Thu Jun 11, 2015 7:44 pm

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11696
Thank you

I think it's more helpful not to give a complete answer straight away ... if a hint doesn't help then, of course, I would add more.

Getting stuck is when children learn ...

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 Post subject: Re: MathsPosted: Thu Jun 11, 2015 8:10 pm

Joined: Fri Aug 30, 2013 7:30 am
Posts: 2231
Or they fling the book across the room, cry and swear, like one of mine does! Even though his teacher is really pleased with his work!

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 Post subject: Re: MathsPosted: Fri Jun 12, 2015 10:05 am

Joined: Fri Oct 11, 2013 8:55 am
Posts: 500
rejim2 wrote:
Maths help!!

Pens are sold at four for £5 and books are sold three for £4. Ken bought ann equal number of pens and books. He paid a total of £124. How many pens and books did he buy altogether?

Many Thanks.

Alternatively if you said number of pens = number of books = x, you could write it out as:

(5/4)x + (4/3)x = 124

and solve for x.

Involves adding mixed fractions and a bit of algebra though, so Guest55's way is probably easier for 11 plussers.

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 Post subject: Re: MathsPosted: Fri Jun 12, 2015 10:12 am

Joined: Mon Feb 12, 2007 1:21 pm
Posts: 11696
Yes, I would not recommend algebra and it is aimed to test understanding of common multiples.

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 Post subject: Re: MathsPosted: Fri Jun 12, 2015 10:43 pm

Joined: Fri Oct 12, 2007 12:42 pm
Posts: 3802
Again as always I would encourage children to use a visual aid (bar model).
My yr 6 mids had a fab time solving complex algebra with Cuisenaire rods and recorded using algebra without manipulating complex equations.

So lovely to watch them fly prior to leaving primary.

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 Post subject: Re: MathsPosted: Sat Jun 13, 2015 6:42 am

Joined: Mon Jun 18, 2007 2:32 pm
Posts: 6939
Location: East Kent
moved wrote:
Again as always I would encourage children to use a visual aid (bar model).
My yr 6 mids had a fab time solving complex algebra with Cuisenaire rods and recorded using algebra without manipulating complex equations.

So lovely to watch them fly prior to leaving primary.

Brilliant way to do it Moved, I will pinch that idea!

The Cuinaire rods would make is visual, especially with the different colours.

By doing something like this it creates an understanding of the problem, rather than just doing algebra by rote.

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