Brett has £135, Dustin has £70, Greg has £35.

Question

Brett gives some money to Dustin & Greg. The ratio of the amount of money Brett, Dustin and Greg have now is 3:2:1
How much money did Brett give to Dustin?

I considered saying Brett gets 3 parts of £240 but thats obviously wrong because what do the others get? So help please.

How much effort did you make in attempting to answer this question on your own? — barak manos, Jan 03 '16 at 18:50
No, that's not the point. When posting a question here, you're expected to show what you've tried. — barak manos, Jan 03 '16 at 18:52

score 2 · Answer 1 · answered Jan 03 '16 at 18:57

2

HINT:

Solve the following system of two equations in two variables:

$\frac23(135-x-y)=70+x$
$\frac13(135-x-y)=35+y$

answered Jan 03 '16 at 18:57

barak manos

43,109

Mate i do not know how to work out 2/3(135−x−y)=70+x. my intelligence is abysmal – greg Jan 03 '16 at 19:04
@greg: Start by multiplying each side of the equation by $3$ (you can do the same with the other equation too BTW). – barak manos Jan 03 '16 at 19:07

score 1 · Answer 2 · answered Jan 03 '16 at 19:03

1

Brett does get 3 parts of £240. How much is each part? How many parts are there in total?

answered Jan 03 '16 at 19:03

Logophobic

1,057

awesome mate, someone else told me, but thanks alot anyway. – greg Jan 03 '16 at 19:10

score 1 · Accepted Answer · answered Jan 03 '16 at 19:04

1

The total amount of money is equal to $135+70+35=240$.

In the end, this total amount is distributed in the ratios $3:2:1$ which means that there are $3+2+1=6$ parts altogether.

So, in the end, Dustin has $\frac{2}{6}$ of this total $=\frac{2}{6}\times240=80$. Therefore Brett must have given Dustin $80-70=10$.

answered Jan 03 '16 at 19:04

Mufasa

5,434

cool man,thanks. i get it 90% jus has to fully sink in – greg Jan 03 '16 at 19:08

Brett has £135, Dustin has £70, Greg has £35.

3 Answers3