Question

1. on each of the last three quizzes, harold worked 24 out of 30 problems correctly. keeping this same rate, how many problems should harold work correctly on a 50 - problem exam?

options: 40 problems, 34 problems, 39 problems, 45 problems

Explanation:

Step1: Find the correct rate

First, calculate the rate of correct problems. The rate is the number of correct problems divided by the total number of problems. So, the rate \( r=\frac{24}{30} \). Simplifying this fraction, we divide numerator and denominator by 6: \( \frac{24\div6}{30\div6}=\frac{4}{5} = 0.8 \).

Step2: Apply the rate to the 50 - problem exam

Now, to find the number of correct problems on a 50 - problem exam, we multiply the total number of problems (50) by the rate (0.8). So, the number of correct problems \( n = 50\times0.8=40 \).

Answer:

40 problems