Tom played five rounds of golf and shot an average score of 72. If he excluded the lowest score, however, his average for the other four rounds was 74. what was Tom's lowest score in the five rounds?
PLEASE EXPLAIN HOW
test 1=74
test 2=74
test 3=74
test 4=74
test 5=64
average of all 5 is 72.
average of first 4 is 74.
just have to find a # divisible by 5 that equals 72 when divided by 5
Then find a # divisible by 4 that equals 74 when divided by 4
take the difference, theres your answer.
total of his 5 games = 5(72) = 360
total of his top 4 games = 4(74) = 296
lowest game = 360-296 = 64
To find Tom's lowest score in the five rounds, we can follow these steps:
1. Let's assume that the total score for the five rounds is S.
2. Since Tom played five rounds and had an average score of 72, the sum of all his scores is 5 * 72 = 360 (S = 360).
3. Now, if we exclude the lowest score and consider the average of the remaining four rounds as 74, we can find the total score for those four rounds.
4. The sum of the scores for the four rounds is 4 * 74 = 296.
5. To find the lowest score, we need to subtract the sum of the four rounds from the total score of all five rounds: S - 296 = x, where x represents Tom's lowest score.
6. Substituting the value of S from step 2, we have: 360 - 296 = x.
7. Simplifying the equation, we find that Tom's lowest score is x = 64.
Therefore, Tom's lowest score in the five rounds of golf is 64.