North London Consortium 2013 Group 2

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leanmeamum
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North London Consortium 2013 Group 2

Post by leanmeamum »

Question 38 - Can anyone help with this question?
Guest55
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Re: North London Consortium 2013 Group 2

Post by Guest55 »

Can you type it out?
leanmeamum
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Re: North London Consortium 2013 Group 2

Post by leanmeamum »

Sorry - it is copied out below.

Magda and her friends go to the cinema.
They buy 1 large tub of popcorn, 4 fizzy drinks and 10 packets of crisps. The bill comes to £10.89.

Lena and her friends go to the cinema.
They buy 1 large tub of popcorn, 3 fizzy drinks and 7 packets of crisps. The bill comes to £8.64.

How much would it cost to buy 1 large tub of popcorn, 1 fizzy drink and 1 packet of crisps?
Guest55
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Re: North London Consortium 2013 Group 2

Post by Guest55 »

What is the answer?
leanmeamum
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Re: North London Consortium 2013 Group 2

Post by leanmeamum »

don't know - tried simultaneous equations and ratios but am stumped.

There seems to be some information missing unless I'm missing something really obvious and being tunnel visioned which is why I hope someone will come along and solve the riddle
Guest55
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Re: North London Consortium 2013 Group 2

Post by Guest55 »

Well this is what I did ...

I subtracted to get what one fizzy drink and 3 packets of crisps is.

Then I rewrote the first as:

1 large tub of popcorn + 1 fizzy drink + 1 packet of crisps + (3 fizzy drinks and 9 packets of crisps) is 10.89

Does that help?
leanmeamum
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Joined: Sat Dec 03, 2011 4:14 pm

Re: North London Consortium 2013 Group 2

Post by leanmeamum »

Thank You - quite neat although would a 10/11 year old know how to expand an equation.
Guest55
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Joined: Mon Feb 12, 2007 2:21 pm

Re: North London Consortium 2013 Group 2

Post by Guest55 »

I think it's a bit tricky but it doesn't need algebra.

The key is understanding that you don't need the individual price of each thing.
future
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Re: North London Consortium 2013 Group 2

Post by future »

DS has worked it out as follows

1P + 4D + 10C = £10.89
1P + 3D + 7C = £8.64
1D + 3C = £2.25
3D + 9C = £6.75

£10.89 - £6.75 = £4.14

Hope this helps.
Guest55
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Joined: Mon Feb 12, 2007 2:21 pm

Re: North London Consortium 2013 Group 2

Post by Guest55 »

Future that's what I did without the need for algebra!
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