# Math Is Fun Forum

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## #1 2024-07-09 02:56:25

paulb203
Member
Registered: 2023-02-24
Posts: 241

### Sharing Ratio

A shop sells small chocolate bars and large chocolate bars

The small bars are sold in packs of 4
The large bars are sold in packs of 9

On one day;

packs of small sold ; packs of large sold = 5:2

A total of 95 bars were sold

How many small bars were sold?

*

5(4) ; 2(9) = 20;18

20:18=10:9

10:9 = 19 parts

95/19 = 5

10x5=50  and 9x5=45

50 small bars and 45 large bars

But the small bars come in packs of 4

50/4=12.5

How can you buy 12.5 packs?

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## #2 2024-07-09 04:13:25

Bob
Registered: 2010-06-20
Posts: 10,503

### Re: Sharing Ratio

My working is a little different but comes to the same answer, 50 small bars leading to 12.5 packs.  you can get the answer even though the answer makes no sense.  I've re-checked this several ways and still get to the same conclusion.

Odd

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

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## #3 2024-07-09 12:11:06

paulb203
Member
Registered: 2023-02-24
Posts: 241

### Re: Sharing Ratio

Thanks, Bob.

I was annoyed at this one. I got the answer and thought, 'That can't be right...' Then puzzled over it for ages. So when I saw that was the answer...

Doesn't seem like a sensible approach to to me; 'Here's the answer, but it doesn't make sense.'

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## #4 2024-07-09 19:38:25

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 209

### Re: Sharing Ratio

For instance, let us recall that the solution of a problem could be the null set, that is it doesn't have one.

When I was at school (then universities) and I couldn't find a solution of a problem, I went on proving that no one else can find it too by proving it cannot exist in the first place (as you did).

Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

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## #5 2024-07-10 00:06:23

Bob
Registered: 2010-06-20
Posts: 10,503

### Re: Sharing Ratio

I think it's odd that the question refers to small bars and large bars. Does that mean there are two sizes of bar?  I think the question just means bars that are put in small packs and same size bars that are piut in large packs. Altogether a very badly worded and thought out question.  It would be easy to change the numbers a bit so that only whole packs are sold and still test the same skills.

Bob

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

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## #6 2024-07-10 08:14:17

paulb203
Member
Registered: 2023-02-24
Posts: 241

### Re: Sharing Ratio

Thanks, KerimF, thanks, Bob.

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## #7 2024-07-10 10:02:38

KerimF
Member
From: Aleppo-Syria
Registered: 2018-08-10
Posts: 209

### Re: Sharing Ratio

I guess you both know now that, to let this exercise have a solution, the sum 95 could be multiplied by 10 for example (and the missing 0 was simply a mistyping).

Every living thing has no choice but to execute its pre-programmed instructions embedded in it (known as instincts).
But only a human may have the freedom and ability to oppose his natural robotic nature.
But, by opposing it, such a human becomes no more of this world.

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