Question

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test?

A.)The test contains 4 three-point questions and 20 five-point questions.
B) The test contains 10 three-point questions and 14 five-point questions.
C)The test contains 14 three-point questions and 10 five-point questions
D) The test contains 20 three-point questions and 8 five-point questions.
can you please help me

Answer 1

Please write x + y = 24 3x + 5y = 100

as:

x + y = 24
3x + 5y = 100

What does this arrangement tell us?

There are a total of 24 test questions.

Since x represents the # of 3-pt questions, 3x is the total # of points obtained by getting 3-pt questions correct.

Since y represents the # of 5-pt questions, 5y is the total # of points obtained by getting 5-pt questions correct.

The greatest possible # of points earnable here is 100.