SOLUTION: a basketball player had four games with identical scores and a fifth game that was his high for the whole season. His mean score for the five games was 25 and the range was 15. Use
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Question 1096194: a basketball player had four games with identical scores and a fifth game that was his high for the whole season. His mean score for the five games was 25 and the range was 15. Use this information to determine his score in each of the five games
write a system of linear equations using the variables x and y and use this system to solve the problem. Answer by greenestamps(13209) (Show Source):
You can put this solution on YOUR website! I myself would not use two variables, since I find it is almost always easier to solve problems if you can do it with only one variable. However, since your instructions said to use two variables....
let x be his score in each of 4 of the 5 games;
let y be his score in his high point game.
Then...
(1) [the range is 15; since there are only two different scores, his high score was 15 points above the other scores]
(2) [his average (mean) for the 5 games was 25]
Substituting (1) into (2)...
His score in 4 of the 5 games was 22; his high score was 22+15 = 37.
