Answer
$n=28$
Work Step by Step
We start with the given equation: $0.25n+0.1n=9.8$
We multiply the whole equation by $100$: $100(0.25n+0.1n=9.8)$
We apply the distributive property to multiply each term by $100$: $25n+10n=980$
We combine the like terms: $35n=980$
Finally, we divide by $35$ on each side of the equation: $n=\frac{980}{35}=28$