Question

Question #ee67f

Answer 1

Shelly gets `£355 - 2x`
where `x` represents the number of pounds that Dave gets

Explanation:

There isn't enough information to come up with the exact monetary amount in a specific number of pounds, but you can represent the answer by using logic.

Let `x` equal the number of pounds that Dave gets.
Andy gets £95 more than that.

Dave . . . . . . . . . . `x larr`the number of pounds Dave gets
£95 more . . . . . . `x + 95 larr`the number of pounds Andy gets

Shelly gets all the rest -- the amount that remains after Dave's share `(x)` and Andy's share `(x + 95)` are subtracted from the total.

Shelly's share = [total} - [Dave's] - [Andy's]
Shelly's share = [450 ] - [`color(white)(..)`x`color(white)(...)` ]  - [ x + 95]

Shelly's share `= 450 - 2x - 95`

Combine like terms
Shelly's share `= 355 - 2x` `larr` answer

.....................

Shelly's share equals `355 - 2x`
where `x` represents the number of pounds that Dave gets

`"Example:"`
Suppose Dave gets `£100`.

Then Shelly gets `355 - 2   (x)`
(Sub in `£100`) . . . `355 - 2 (100`)
(Multiply) . . . . . . . `355 -   200`
Shelly's share . . . . . . `£155`

Andy's share is `(100 + 95) = £195`

Checking the hypothetical answer

`"Dave"` . . . . .`£100`
`"Andy"` . . . . `£195`
`"Shelly"` . . . .`£155`
................................
Total . . . . . `£450`

This would have checked if Dave did actually get `£100` (which was only an assumption.)