Maths

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rejim2
Posts: 92
Joined: Thu Mar 17, 2011 1:58 pm

Maths

Post by rejim2 »

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.
Guest55
Posts: 16254
Joined: Mon Feb 12, 2007 2:21 pm

Re: Maths

Post by Guest55 »

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
rejim2
Posts: 92
Joined: Thu Mar 17, 2011 1:58 pm

Re: Maths

Post by rejim2 »

Thank-you so much Guest55 , prompt and clear...much appreciated!!
Yamin151
Posts: 2405
Joined: Fri Aug 30, 2013 8:30 am

Re: Maths

Post by Yamin151 »

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!
Guest55
Posts: 16254
Joined: Mon Feb 12, 2007 2:21 pm

Re: Maths

Post by Guest55 »

Thank you :D

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 ...
Yamin151
Posts: 2405
Joined: Fri Aug 30, 2013 8:30 am

Re: Maths

Post by Yamin151 »

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! :?
Proud_Dad
Posts: 500
Joined: Fri Oct 11, 2013 9:55 am

Re: Maths

Post by Proud_Dad »

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.
Guest55
Posts: 16254
Joined: Mon Feb 12, 2007 2:21 pm

Re: Maths

Post by Guest55 »

Yes, I would not recommend algebra and it is aimed to test understanding of common multiples.
moved
Posts: 3826
Joined: Fri Oct 12, 2007 1:42 pm
Location: Chelmsford and pleased

Re: Maths

Post by moved »

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.
yoyo123
Posts: 8099
Joined: Mon Jun 18, 2007 3:32 pm
Location: East Kent

Re: Maths

Post by yoyo123 »

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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