There are 24 questions on a test. Each question is worth either 4 points or 5 points. The test has a total of 100 points. Write and solve a system of equations to determine the number of 4 point questions on the test and the number of 5 point questions on the test.

Question

There are 24 questions on a test. Each question is worth either 4 points or 5 points. The test has a total of 100 points. Write and solve a system of equations to determine the number of 4 point questions on the test and the number of 5 point questions on the test.



20 - 5-point questions and 4 - 4-point questions

4 - 5 point questions and 20 - 4-point questions

12 - 5-point questions and 10 - 4 point questions

10 - 5-point questions and 12 - 4 point questions

Answer 1

x + y = 24, 4x + 5y = 100
Solve: x = 10, y = 14
Therefore, there are 10 5-point questions and 14 4-point questions on the test.

Answer 2

AAAaannndd the bot gets it wrong yet again!

x + y = 24
4x + 5y = 100

4x+4y = 96
4x+5y = 100
y = 4 so x = 20