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.

Answer 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 $80-70=10$.

Answer 2

HINT:

Solve the following system of two equations in two variables:

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

Answer 3

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