Tip
An algebraic word problem can be presented in either a real-life or an abstract setting. Some word problems will require you to set up and solve an equation or inequality to arrive at the final answer. Other word problems will require you to translate words into an expression, equation, or inequality, which will be the final answer.
Sample Problem
Kyle has three times as much money in his savings account as Hayden. Hayden has twice as much money in his savings account as Jeremy. Combined Kyle, Hayden, and Jeremy have a total of $612. How much money does Kyle have in his account?
Answer Options
(A) $68
(B) $136
(C) $204
(D) $306
(E) $408
View Correct Answer
(E) $408
Let K, H, and J represent the amount of money for Kyle, Hayden, and Jeremy, respectively. So, K + H + J = 612, K = 3H, and H = 2J. Since J = H2 then K + H + J = 3H + H + H2 = 612, and solving the equation for H yields H = 136; Therefore, K = 3(136) = 408.
