The math scores of a math test for five students were posted on the bulletin board. The students' names are Rod, Penny ,Jake, and Fred. Rod and Fred scored the same number of points. Penny did not get the highest score. John's score was 5 points lower than Jack's. The scores were 72,61,93,61 and 88. Which student received what score?
Jack-5=John
See if that gets you anywhere, you need to do substitution.
To determine which student received what score, let's break down the information given.
First, we know that Rod and Fred scored the same number of points. Since the scores were 72, 61, 93, 61, and 88, let's assign Rod and Fred the score of 61.
Now we have three scores remaining: 72, 93, and 88.
Next, we know that Penny did not get the highest score. Let's see which score is the highest: 72, 93, or 88. The highest score is 93. Therefore, Penny did not receive the score of 93.
Lastly, we are told that John's score was 5 points lower than Jack's. Since Jack did not get the score of 93, we can conclude that John got the score of 88. This means Jack received the score of 93.
To summarize:
- Rod and Fred scored 61.
- Penny received a score that is not the highest.
- John got 88.
- Jack received 93.
Therefore, the students' scores are as follows:
- Rod: 61
- Fred: 61
- Penny: 72
- John: 88
- Jack: 93