Question

Mrs. Kellen's most recent math test consisted of 50 questions. Some of the questions were worth two points and the rest of the questions were worth 3 points. If there were 115 points available on the test, how many questions were worth 2 points?

Answer 1

The answer to your question is: 35 questions worth 2 points and 15 questions worth 3 points.

Explanation:

Data

Number of questions = 50

Total points = 115

x = questions worth 2 points

y = questions worth 3 points

Process

write to equations

(1) --------------- x + y = 50

(2) -------------- 2x + 3y = 115

Solve them by substitution

x = 50 - y

2 (50 - y) + 3y = 115

100 - 2y + 3y = 115

3y -2 y = 115 - 100

y = 15

x = 50 - 15

x = 35