Math 0980 What is the minimum score that Ariana must bowl in her fifth game

Question

Ariana is trying to qualify for the local bowling championship. To qualify, a person must bowl five games and have a combined average score of at least 195. In the first four games, Ariana scores where 195, 191, 178 and 209.

What is the minimum score that Ariana must bowl in her fifth game to qualify for the local bowling championship?

Answer 1

Let S = the score that she needs

Then,

(195 + 191 + 178 + 209 + S)/5 = 195 or (773 + S)/5 = 195

773 + S = 975 or S = 202 (Her minimum score)