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? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answer 1

Explanation:

Solve the system of equations

x + y = 24 both sides times 3 3x + 3y = 72

3x + 5y = 100

3x + 3y = 72 subtract the bottom equation from the top one

0x + 2y = 28

y = 14 five point questions 70 points

x + 14 = 24 the first equation with y set to 14

x = 10 three point questions 30 points