Question

1. a teacher gave a test with 50 questions, each worth the same number of points. donovan got 39 out of 50 questions right. marci’s score was 10 percentage points higher than donovan’s. what was marci’s score? explain.

Explanation:

Step1: Identify Donovan's score

Donovan got 39 out of 50 questions right. Since each question is worth the same number of points, his score is 39 (assuming each question is 1 point, or we can think of the score as the number of correct answers here as the total questions are 50 and each is same value).

Step2: Calculate Marci's score

Marci's score is 10 percentage points higher than Donovan's. First, find Donovan's percentage: $\frac{39}{50} \times 100 = 78\%$. Then Marci's percentage is $78\% + 10\% = 88\%$. Now, find her score out of 50: $\frac{88}{100} \times 50 = 44$. Alternatively, since each question is 1 point (as total 50 questions, each worth same, so 1 point per question), we can also calculate the number of correct answers. Donovan has 39, Marci is 10 percentage points higher. The percentage increase in correct answers: 10% of 50 is $0.10 \times 50 = 5$. So Marci's correct answers: $39 + 5 = 44$.

Answer:

44