Solve the following word problems using systems of equations. You may use any strategy to solve the systems. 5) Mr. Proctor is three years younger than twice his brother’s age. If Mr. Proctor is twelve years older than his brother, how old are they both right now?

Equation 1

Equation 2

Mr. Proctor’s age

Brother’s age

Consider a bag that contains 220 coins of which 6 are rare indian pennies. for the given pair of events a and b, complete parts (a) and (b) below. a: when one of the 220 coins is randomly selected, it is one of the 6 indian pennies. b: when another one of the 220 coins is randomly selected (with replacement), it is also one of the 6 indian pennies. a. determine whether events a and b are independent or dependent. b. find p(a and b), the probability that events a and b both occur.