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?

Question

asked Sep 7, 2023 172k views

1 Answer

Param Yadav · Answer 1 · 2023-09-13T06:25:58+0000

Answer:

£150

Explanation:

Suppose Charlie received £
, 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.