Help me solve a maths equation.

[opm]

Ok here goes.

Alan, Bert and Charlie have £46 between them.

The money is shared between Alan and Bert at a ratio of 9:5

The ration between Bert and Charlie is 2:1

How much money does Alan have?

A-£10
B-£24
C-£36
D-£18


Rather the just post your guess at correct answer can you also show and explain your working out please.

Many thanks.

[sxmwht]

A + B + C = 46
B = A*5/9
C = B/2 = A*5/18

A + A*5/9 + A*5/18 = 46
A(1 + 5/9 + 5/18) = 46
A*(33/18) = 46
A = 46*18/33 = 25.09

Are you sure the question is right? I've rushed through so I may have it wrong, but I don't think the answer is there

[FredAstaire]

sxmwht said:

A + B + C = 46
B = A*5/9
C = B/2 = A*5/18

A + A*5/9 + A*5/18 = 46
A(1 + 5/9 + 5/18) = 46
A*(33/18) = 46
A = 46*18/33 = 25.09

Are you sure the question is right? I've rushed through so I may have it wrong, but I don't think the answer is there

I got 25.09 as well. Probably made the same mistake.

[thewarlock]

Same

[GT03ROB]

Yep 25.09

[Gary29]

25.09 here too

Ratios are:

A = 9
B = 5
C = B/2

So A = 9 B = 5, C = 2.5 (B/2)

[Olivergt]

I'm with sxmwht, I don't think the answer is there.

I used brute force, checked 24 first as the most likely

24 / 9 = 2.666

2.666 X 5 = 13.333

13.333 / 2 = 6.666

So you get these 3 values for the ratios 9:5 and 2:1

9:5 - 24:13.333
2:1 - 13.333:6.666

Summed up they give a total of 43.999

Using 25 gets you much closer, but still not 46

[Nampahc Niloc]

According to my calculations, none of the above.

1). A + B + C = 46

2). A = 9/5B = 1.8B

3). B = 2C

Therefore put equation 3 into equation 2 and you get

4) A = 1.8 x 2C = 3.6C

Put equation 3 and 4 into equation 1 and you get

5) 3.6C + 2C + C = 46

Which becomes

6) 6.6C = 46

Therefore C= 46/6.6 = 6.9696....

Put this back into equation 4 and you get

A = 3.6 * 6.9696.... = £ 25.09

Hope this helps, you might want to check my maths though.

Edit - bit slow on the reply there.

[opm]

I had an educated guess at £24 myself but according to the bloke at work daughters school who online lesson it was from the answer is £36.

But that seemed wrong to me hence asking on here.

[V8 Bob]

Well my logic is as follows

Alan. 18 shares
Bert. 10 shares
Charlie. 5 shares

Total. 33 shares

Ie for Alan with 9 Bert gets 5. Double up above
For Bert to get 2 Charlie gets 1 multiply by 5 to match Berts 10 share


Therefore Alan should have £46 x 18 / 33. Which is £25.09 ie none of suggested answers unless it is trick ie he has at least £24?

[SturdyHSV]

opm said:

I had an educated guess at £24 myself but according to the bloke at work daughters school who online lesson it was from the answer is £36.

But that seemed wrong to me hence asking on here.

So they have £66 between them presumably.

[Gary29]

SturdyHSV said:

So they have £66 between them presumably.

Works for me.

The original question has been subject to Chinese whispers somewhere along the way.

[lemansky]

Gary29 said:

25.09 here too

Ratios are:

A = 9
B = 5
C = B/2

So A = 9 B = 5, C = 2.5 (B/2)

Seemed like the most straightforward method to me, too - none of this equations stuff.

The £46 is made up of 16.5 units (A9 + B5 + C2.5) which is 2.787878 per unit.

A has 9 of them (9 x 2.787878) = 25.09.

[V8 Bob]

Can you check question is not £44 between them this would give Alan £24

[CanAm]

If the total sum is £66, then
Alan £36
Bert £20
Charlie £10

Obvious typo or careless Whispa

[sxmwht]

If the question were 44, rather than 46, the answer would be 24

[CanAm]

sxmwht said:

If the question were 44, rather than 46, the answer would be 24

Given that we're told the answer is 36, I'll stick with the total being 66 rather than 44
Plus, A's total has to be divisible by 9. Your version gives B £13.3333333333333333333333333 etc

[bristolbaron]

opm said:

I had an educated guess at £24 myself but according to the bloke at work daughters school who online lesson it was from the answer is £36.

But that seemed wrong to me hence asking on here.

It’s not the wrong answer, it’s just the wrong question total should definitely be £66.

[opm]

The way the teacher said to work it out is like this, this is from memory as was at work earlier when we was discussing it.

You put 9 5 2 1 in a line then you times the 9 and 2 together to get 18, then the 5 and the 2 making 10, the 1 and 2 making 2, then finally the 1 and 5 making 5

Put them in a line as follows. 18 10 2 5

Then for what ever reason you discard the 10.

Then something like just times the 18 by 2 to give 36 the answer according to the teacher.

As you say though when you work it out backwards from £36 it gives a total of £66

Will ask him again tomorrow at work to make sure he had all correct figures.

[GT03ROB]

opm said:

The way the teacher said to work it out is like this, this is from memory as was at work earlier when we was discussing it.

You put 9 5 2 1 in a line then you times the 9 and 2 together to get 18, then the 5 and the 2 making 10, the 1 and 2 making 2, then finally the 1 and 5 making 5

Put them in a line as follows. 18 10 2 5

Then for what ever reason you discard the 10.

Then something like just times the 18 by 2 to give 36 the answer according to the teacher.

As you say though when you work it out backwards from £36 it gives a total of £66

Will ask him again tomorrow at work to make sure he had all correct figures.

If thats the standard of teaching better all kids are kept at home forever & have them taught by th expect cat or dog