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Maths Week: Sunday puzzle answers

Here are the solutions to Sunday’s puzzles.

Here are the solutions to Sunday’s puzzles. 

1) 24 sweets altogether

2) 5 and each brought 5 pumpkins.

3) Mrs Black gave apples, Ms White gave sweets, Mr Brown gave oranges and Ms Gray
gave monkey nuts.

4) Three witches all together

5) Ten 20c coins and six 50c coins

6) 59 sweets

Why? 

An approach is to eliminate possibilities, starting with multiples of 5. If it is divided by 5 it has a remainder of 4. Therefore it is a multiple of 5 plus 4.

It cannot be an even number so multiples of 10 don’t need to be checked.

So it is possibly: 9,19,29,39,49,59,69,79,89,99

9,39,69,99 are all multiples of 3, so can be eliminated.

Try dividing the remaining possibilities by 4 to see if they have a remainder of 3:

19 – remainder 3,
29 – remainder 1,
49 – remainder 1
59 – remainder 3
79 – remainder 3
89 – remainder 1

Three possibilities left: 19,59,79

Divide by 3, see if they have a remainder of 2:

19 – remainder 1
59 – remainder 2
79 – remainder 1

That leaves 59 as the only possible value.

7) Make two vertical cuts at right angles to each other to get 4 equal portions. Finally, move halfway down the outside and make a cut horizontally to result in 8 portions.

8) They took an apple out of the Red and Green box. If it is red, they know that box must
contain the green apples (as it can’t contain red and green). Then the Red labelled box
cannot contain red, so must contain green and red. The Green labelled box must then
contain the red.

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    Mute tismeself
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    Aug 26th 2017, 7:21 PM

    Rent in Dublin is ridiculous. My partner and I are both working full time and could barely get by. Moved to Wexford about a month ago and it worked out cheaper to live here and for my partner to commute daily that it was to live up there.

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    Mute P.J. Nolan
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    Aug 26th 2017, 7:45 PM

    @tismeself:
    Reckon Gorey could be a rent pressure zone soon, rents moving up fast.

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    Mute tismeself
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    Aug 26th 2017, 10:39 PM

    @P.J. Nolan: we were lucky enough to get a place in Wexford town, Gorey is getting very expensive

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    Mute tismeself
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    Aug 26th 2017, 10:40 PM

    @Greenthor16: so far so good but it can be a bit tiring.

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    Mute P.J. Nolan
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    Aug 27th 2017, 9:16 AM

    @tismeself:
    Wexford town to Dublin is a long run, most be over 2 hours each way by train or car although when the motorway extension is finished next year should help.
    A relative of mine commutes from Tralee! (A couple of times a week)

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    Mute Andro Štruca
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    Aug 26th 2017, 7:49 PM

    Rents need to be higher

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    Mute Dave Doyle
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    Aug 26th 2017, 7:59 PM

    @Andro Štruca: A troll.

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    Mute Sean
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    Aug 26th 2017, 9:31 PM

    @Andro Štruca: As trolling comments go it is a good one. It gave me a laugh anyway.

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    Mute Georgio Zizek
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    Aug 26th 2017, 7:18 PM

    100/1: The actual chances McGregor has to win. But I still support him. Up the Dubs!

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    Mute Sean
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    Aug 26th 2017, 9:30 PM

    @Georgio Zizek: oh you’ll want to post that on an article about McGregor then. This article is about rent me old mucker.

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    Mute Mah Beans
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    Aug 27th 2017, 2:01 AM

    @Sean: This is about numbers.

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    Mute Unitedpeople
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    Aug 27th 2017, 11:24 AM

    @Georgio Zizek:

    McGregor’s number was €100+ Million for second place.
    Mayweather walked away with €200+ Million.

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    Mute tismeself
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    Aug 27th 2017, 11:51 AM

    @P.J. Nolan: 2.20 up and 1.45 back down. Long enough but somehow we both feel less tired than we did in Dublin. Just couldn’t afford to stay up there.

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    Aug 27th 2017, 12:41 PM

    @tismeself:
    The “I want it and I want it now” brigade will not be impressed with you!

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