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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?

Respuesta :

Answer:

£150

Step-by-step explanation:

Suppose Charlie received £[tex]x[/tex], then Dave received £[tex](x+30)[/tex].

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

[tex]5x=3(x+30)[/tex] (inverse proportion)

[tex]5x=3x+90\\2x=90\\x=45[/tex]

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.