An exam worth 245 points contains 45 questions some questions are worth 7 points, and others are worth 2. how many 7 point and 2 point questions are there on the test

31 questions that are worth 7 points, 14 questions that are worth 2 points

Step-by-step explanation:

the variable s will stand for the number of 7 point questions, the variable t will stand for the number of two point questions.

7s + 2t = 245

s + t = 45

t = 45 - s

7s + 2(45 - s) = 245

7s + 90 - 2s = 245

5s + 90 = 245

5s = 155

s = 31

There are 31 questions that are worth 7 points.

7(31) + 2t = 245

217 + 2t = 245

2t = 28

t = 14

There are 14 questions that are worth 2 points

step-by-step explanation: