Math Snap

STEP 1

Assumptions1. The total bonus amount is \(\)3000$
. The bonuses were awarded in amounts of \(\)250$or$$750$
3. At least one \(\)250$bonus and at least one$$750$ bonus were awarded

STEP 2

Let's denote the number of \(\)250$bonuses as$x$and the number of$$750$bonuses as$y$. We can write the equation that represents the total bonus amount.
$$250x +750y =3000$$

STEP 3

We can simplify the equation by dividing all terms by250.
$$x +3y =12$$

STEP 4

Since we know that at least one \(\)250$bonus and at least one$$750$bonus were awarded, we can say that$x \geq1$and$y \geq1$.

STEP 5

We can start by assuming the minimum value for $y$, which is1. Substitute $y =1$ into the equation.
$$x +3(1) =12$$

olve the equation for $x$.
$$x =12 -3 =9$$So, one possible number of \(\)250$ bonuses awarded is9.