Final answer:
After the timeout, both Eva and Brody made 2 baskets each, leading to a tied final score of 24 points for both players.
Step-by-step explanation:
Initially, Eva's score was 18 points, and Brody's score was 20 points. After changing the rules, Eva received 3 points per basket, and Brody received 2 points per basket. To find out how many baskets each person made after the timeout and what their final scores were, we can set up an equation assuming they made x number of baskets each. For Eva, the new score will be 18 + 3x, and for Brody, the new score will be 20 + 2x. Since their scores are tied, we can equate these two expressions.
So, we have:
18 + 3x = 20 + 2x
Subtracting 2x from both sides, we get:
18 + x = 20
Subtracting 18 from both sides, we get:
x = 2
Both Eva and Brody made 2 baskets after the timeout. Eva's final score would be 18 + 3(2) = 24 points, and Brody's final score would be 20 + 2(2) = 24 points, confirming that their scores were tied at the end.