Question

Juan earned 60% of the possible points on his first math test. His teacher offered to let him take another test to earn extra credit. Juan earned 80% of the possible points on the second test. Each test had the same number of possible points. If Juan earned 30 points on the first test, how many points did he earn on the second test?

Answer 1

Let:

x = Number of points Juan earned on the second text

n = Total number of points of each test

First, let's find the total number of points of each test using the information provided:

`\begin{gathered} 0.6\cdot n=30 \\ so\colon \\ n=(30)/(0.6) \\ n=50 \end{gathered}`

Now, we can find how many points Juan earned on the second test:

`\begin{gathered} x=0.8\cdot n \\ x=0.8\cdot50 \\ x=40 \end{gathered}`

Answer:

40 points