Question

At a pizza eating competition, Davonne ate two more than twice as mant slices as the runner-up. If davonne ate 11 slices, then how many slices did the runner-up eat

Answer 1

Let
`d` be the number of slices eaten by Davonne, and
`r` be the number of slices eaten by the runner-up.

The sentece "Davonne ate two more than twice as many slices as the runner-up" translates as

`d = 2r+2`

In fact,
`2r` is twice as much as the runner-up ate, and the final "+2" represents the "two more than.." part.

Since we know hoy many slices Davonne ate, let's plug that value and solve for
`r`:

`11 = 2r+2 \iff 9 = 2r \iff r = \cfrac{9}{2} = 4.5`

So, the runner-up ate 4.5 slices.