Let's say Maura made x baskets after the time-out.
Therefore, Maura scored x points because she got 1 point per basket.
Isaiah made y baskets after the time-out.
Therefore, Isaiah scored 2y points because he got 2 points per basket.
The total score for each person after the time-out is x + 21 for Maura and 2y + 19 for Isaiah.
The total score for each person after the time-out is the same, so we can write the equation x + 21 = 2y + 19.
Simplifying this equation, we get x + 2 = 2y.
Since they ended up with a tied score, x + 21 = y + 19, which simplifies to x + 2 = y.
Substituting the value of y from the second equation into the first equation, we get x + 2 = 2(x + 2).
Expanding the brackets, we get x + 2 = 2x + 4.
Subtracting x from both sides, we get 2 = x + 2.
Subtracting 2 from both sides, we get 0 = x.
Therefore, x = 0, and since y = x + 2, we have y = 2.
So Maura made 0 baskets after the time-out and scored 0 points.
Isaiah made 2 baskets after the time-out and scored 4 points. Answer: \boxed{0 \text{ points and 0 baskets for Maura, and 4 points and 2 baskets for Isaiah}}.
Maura and Isaiah, the boy she was babysitting, were playing basketball together. Her score was 21 points, and his score was 19 points. Maura wanted to make the game more fair, so she called a time-out and modified the rules a bit. Maura explained that, for the rest of the game, she would get 1 point per basket, and Isaiah would get 2 points per basket. Then they played a bit longer. After the time-out, they both made the same number of baskets and ended up with a tied score. How many points did each person have at the end? How many baskets did each person make after the time out?
1 answer
1 answer