University Law School accepts 3 out of every 8 applicants. If the school accepted 270 students, find how many applications they received. 0 of 1 University Law School received \( \square \) applications.

Let's break it down! If University Law School accepts 3 out of every 8 applicants and they accepted 270 students, we can set up a simple mathematical relationship. Each 8 applicants results in 3 accepted, so for every 270 accepted students, you can calculate the number of applications like this: If 3 students represent the accepted fraction, then we can set up the equation: \( \frac{3}{8} \times \text{Total Applications} = 270 \). To find the total applications, rearrange the equation: \( \text{Total Applications} = \frac{270 \times 8}{3} = 720 \). So, the school received 720 applications! Now for a quick tip: when handling ratios, it's helpful to break them down into fractions like we've done here. A common mistake is trying to multiply or divide parts of the ratio without properly setting up the full context, so always ensure you maintain that balance!