Question

Question #f1ecd

Answer 1

Lyle received `$120` in tips.

Melissa received `$160`

Explanation:

The best way to solve this problem is by logic.

By agreeing to a `4:3` ratio, they are dividing the tips into `7` parts -- `4` parts for Melissa, plus `3` parts for Lyle.

So `$280` represents all `7` of the parts.

Therefore, each one part is worth `$40`.
`7` parts @ `$40` ea = `$280`

Melissa got `4` parts, which equals `4 xx $40`
`"Melissa's share"`:  `$160`

Lyle got `3` parts, which equals `3 xx $40`
`"Lyle's share"`:  `$120` `larr` answer

Check
In a `4:3` ratio:
`4` shares @ `$40` ea . . . .`$160` `larr` Melissa's share
`3` shares @ `$40` ea . . . .`$120` `larr` Lyle's share
..........................................................
`7` shares `color(white)(..............m)` `$280`

`Check!`