Colton surveyed his classmates. The ratio of students who prefer football to students who prefer baseball is 3:7. There are 30 students in Colton’s class. How many students prefer football?

**ratio of students who prefer football to students who prefer baseball is 3:7**

therefore,

**ratio of students who prefer football to total students is 7:10**

**Set up a proportion:**

7 prefer football x prefer football

-------------------- = --------------------- {substituted given information into proportion}

10 total students 30 total students

10x = 7(30) {cross-multiplied}

10x = 210 {multiplied 7 by 30}

x = 21 {divided each side by 10}

**21 students prefer football**

*- Algebra House*