a teacher surveys her class of 27 students to learn how many enjoy playing the video game mario kart 7 (mk7) and its newer version mario kart 8 (mk8). she finds that 7 students play only version 7 and that 5 play only the newer version. if twice as many students play both versions as those that play neither version, how many students play mario kart 7?

Answer:Number of students playing mario kart 7 = 17Step-by-step explanation:Total number of students in class = 27Number of students playing only version 7 = 7Number of students playing only version 8 = 5Remaining number of students = 27 - 7 - 5 = 15This includes students play both versions and  students that play neither versionSo total number of students play both versions and  students that play neither version = 15Given that twice as many students play both versions as those that play neither version.Let x be the number of students that play neither version.So number of students playing both versions = 2xWe have     x + 2x = 15         3x = 15           x = 5 Number of students playing both versions = 2x = 10Number of students playing mario kart 7 = 7 + 10 = 17Number of students playing mario kart 7 = 17