Tham khảo tài liệu 'wiley the official guide for gmat episode 1 part 7', ngoại ngữ, ngữ pháp tiếng anh phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | Problem Solving Answer Explanations s 1 r dollars to spend next year. This amount is to be the amount he spends this year. The task is to find I where I and s satisfy the condition s 1 r I - s . Solve for I as follows s 1 r 2 I - s 2s 1 r I s 2s 2rs I s 3s 2rs I s 3 2r I Then I s 3 2r 2r 3 . The correct answer is E. Algebra Simplifying algebraic expressions Let J be the number of dollars that Jim has. Then the amount that Lois has can be expressed as J x dollars. If Lois and Jim together have a total ofy dollars then y J J x total dollars Jim s dollars Lois s dollars Solve this for J to determine the number of dollars that Jim has y 2 J x y - x 2 J y - x T 2 J The correct answer is A. 164. If m-1 -A then m 2 is equal to A -9 B -3 C -I D 1 E 9 Arithmetic Negative exponents Using rules of exponents m 2 m 1 2 m 1 2 . 1 - Í 1V 1 and since m 1 m 2 I I . 3 U 9 The correct answer is D. 165. Lois has x dollars more than Jim has and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has 166. During a certain season a team won 80 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season what was the total number of games that the team played A 180 B 170 C 156 D 150 E 105 Arithmetic Algebra Percents Applied problems Let G equal the number of games played by the team this season. The given information can be expressed as 100 G - 100 that is 80 percent of the first 100 games plus 50 percent of the remaining games equals 70 percent of the total number of games played. This equation can be solved for G to determine the answer to the problem A y - x 2 B x y - 2 C y - x 2 D 2y - x E y - 2x 100 G - 100 80 - 50 30 150 G The correct answer is D. simplify and distribute simplify and subtract from both sides multiply by 5 239 The Official Guide for GMAT Review 12th Edition 167. Of 30 applicants for a