Final answer:
We used algebra to solve for the individual trivia challenge scores of two friends, finding that Jamal scored 1025 points and Fayth scored 1225 points.
Step-by-step explanation:
A student is asking how to determine the number of points scored by each friend in a trivia challenge where Fayth scored 200 more points than Jamal and together they scored a total of 2250 points. To solve this problem, we can use algebra.
Let's define the points scored by Jamal as J. Since Fayth scored 200 more points than Jamal, Fayth's points would then be J + 200. Together, they scored 2250 points, so we can write the equation J + (J + 200) = 2250.
Combining like terms, we get: 2J + 200 = 2250. To find out how many points Jamal scored, we subtract 200 from both sides of the equation, giving us 2J = 2050. We divide both sides by 2 to isolate J, yielding J = 1025.
Since J represents Jamal's score, we find that Jamal scored 1025 points. Therefore, Fayth's score would be J + 200, or 1025 + 200 = 1225. So Fayth scored 1225 points.
In summary, Jamal scored 1025 points and Fayth scored 1225 points.