Question

An exam worth 245point contain 45 question. some question are worth 7 point and other worth 2 points. how many 7 points and 2 points questions are one the test​

Answer 1

Hi! here is your answer.

Let number of 7 point questions be x.

Number of 2 point questions be y.

So, 7x + 2y = 245

x + y = 45

Y = 45 - x

7x + 2(45 - x) = 245

7x + 90 - 2x = 245

5x + 90 = 245

5x = 155

x = 31

There are 31 questions that are worth 7 points.

7(31) + 2y = 245

217 + 2y = 245

2y = 28

y = 14

There are 14 questions that are worth 2 points.

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