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bag of money

Maths Week: Monday's puzzle of the day

We’re setting you a little brainteaser each day this week to highlight a drive to improve the country’s numeracy skills.

ENGAGE THOSE BRAINS, folks: we have a teasing question for you.

Each afternoon this week, we’ll be setting you a (not too) tough riddle to get the cogs whirring and test your mathematical mettle.

If this prospect fills you with either a. joy, or b. dread, the mathsweek.ie site is worth a look – with events for maths fans and for those who might feel the need to brush up on their numeracy skills. The events are running from now until Sunday.

Monday’s puzzle:

A cash collection was made around a room with everyone putting a note into a bag. People put in either a €20, a €10 or a €5 note.

I asked the collector how much was in the collection and he told me that if I pulled out a note at random that there would be a 1 in 12 chance of getting a €20 note. He said there would be a 1 in 4 chance of getting a €10 note and a 2 in 3 chance of getting a €5.

I protested that I needed more information. He conceded that four people had put in €20 notes and he refused to tell me any more.

Can you figure out how much money was in the bag?


Poll Results:

€360 (3455)
€280 (835)
€325 (322)
€255 (292)

All answers will be revealed on Friday afternoon. You’ll see what other readers are thinking when you make your choice above and the pie chart shows the most popular option. (We’re not saying that the most popular will be the right one!)

These handy tips will help develop your child’s maths skills (without them knowing it)>

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    Mute Gagsy 99
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    Oct 13th 2014, 3:28 PM

    The collector sounds like a bit of a dick – who answers a simple question with a riddle like that?

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    Mute Sean Sliddy Liddy
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    Oct 13th 2014, 3:15 PM

    Who the hell puts €20 into a collection!!!

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    Mute Mark Lillis
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    Oct 13th 2014, 3:32 PM

    Was the collector a politician by any chance? He couldn’t give you a straight answer?
    It’s like asking “how much of tax payers money is spent on x?” “Well,” said the Politician, “50% of it has a 1 in 12 chance of not going on what it needs to”

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    Mute Julie Cullen
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    Oct 13th 2014, 4:03 PM

    Great to see The Journal supporting STEM – it’s also EU Code Week ;)

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    Mute Moccy Fondoo
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    Oct 13th 2014, 3:32 PM

    4 x €20 will give 1 in 12, – so there are 48 notes in the bag
    12 x €10 will give 1 in 4, = 12 in 48 = €120
    23 x €5 will give 2 in 3 = 32 in 48 = €160
    plus the 4 x €10 = €80
    Total = €360.

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    Mute Moccy Fondoo
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    Oct 13th 2014, 3:35 PM

    32 x 5, sorry

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    Mute Finzo Mc
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    Oct 13th 2014, 3:44 PM

    Well done, you managed to do some arithmetic. You could also let people work it out for themselves in the spirit of the whole exercise.

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    Mute Jack Bowden
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    Oct 13th 2014, 3:54 PM

    I found the common denominator (12). Worked it out like that. 8/12 gave a fiver. 3/12 gave a tenner. It’s like old primary school Maths.

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    Mute Moccy Fondoo
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    Oct 13th 2014, 4:25 PM

    - No need to throw your toys out of the pram, it’s only for fun.
    And, look, – I’ve saved you days of mental anguish trying to work it out.

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    Mute Moccy Fondoo
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    Oct 13th 2014, 4:26 PM

    ‘Finzo’ that is.

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    Mute James Conway
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    Oct 13th 2014, 4:35 PM

    There always one who has to ruin it for everyone. Any movie or TV shows you’d like to ruin with spoilers?

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    Mute James Conway
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    Oct 13th 2014, 4:39 PM

    There’s always one who has to ruin it-”Look at me, I’m so clever!!”, any movies or TV shows you’d like to ruin with spoilers?

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    Mute Steve Mac
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    Oct 13th 2014, 4:53 PM

    In other news Darth is Luke’s father.

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    Mute Finzo Mc
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    Oct 13th 2014, 5:22 PM

    Ha, listen pal, all I’ll say is that I don’t use my real name on facebook because I lecture in engineering. Keep working hard at the sums.

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    Mute John Free Shanti
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    Oct 13th 2014, 8:17 PM

    Those that can’t do…teach!!

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    Mute Kim Prylowski
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    Oct 13th 2014, 5:17 PM

    I wonder how many people are actually just picking something at random

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    Mute Brandon Steers
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    Oct 13th 2014, 3:16 PM

    Easy peezy lemon squeezy

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    Mute Gagsy 99
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    Oct 13th 2014, 3:30 PM

    I now think more highly of you.

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    sid
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    Mute sid
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    Oct 15th 2014, 4:07 AM

    Y

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    Mute Paul O'Donohoe
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    Oct 14th 2014, 7:34 PM

    Made a meal of it, thought it said 1 in 3 instead of 2 in 3. I’m so screwed for this differentiation test tomorrow.

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    Mute MATHS ACADEMY
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    Oct 13th 2014, 9:10 PM

    Can 3=2? See here http://bit.ly/1ueeJpv

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