Question

Bill, Charlie and Dave share some money in the ration 2:3:5. Dave receives £30 more than Charlie. How much did they share in total?

Answer 1

Answer:

£150

Step-by-step explanation:

Suppose Charlie received £$x$, then Dave received £$(x+30)$.

Because the ratio of Charlie to David is 3:5, we have

$5x=3(x+30)$ (inverse proportion)

$5x=3x+90\\2x=90\\x=45$

We now know that 3 parts of the ratio represents £45, so 1 part would represent £15.

So the total amount is 10 parts = £150.