Answer
The ratio is $\displaystyle \frac{8}{3}$.
Work Step by Step
We see that Emily spent:
$\$150$ on car repairs
$\$400$ on car insurance
We find the ratio between the amount spent on insurance and the amount spent on repairs:
$\displaystyle \frac{400}{150}=\frac{8*50}{3*50}=\frac{8}{3}$
Thus the ratio is $\displaystyle \frac{8}{3}$.