Algebra, Proportions & Ratios, and Probability

Consider the equation 3x + 1 = -2x + 11

Which value of x satisfies the equation?

On a certain map of Colorado, one inch represents 15 miles. How many miles do 3 4/5 inches represent?

The ratios of boys to girls in Mr. Owens math class is 3 to 5. If there are 10 girls in the class on a given day, how many boys are there in the class on that day?

Darius has 200 marbles in a bag. Two marbles are purple, two are brown, and the rest are pink. What is the chance that Darius will pick a purple marble at random?

There are 22 students in the drama club. There are 5 freshmen, 5 sophomores, 6 juniors, and 6 seniors in the club. The club president cannot be a freshman. John Carlo, a senior, runs against 3 juniors for club president. What is the probability that he gets elected?