Question

On a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions. The test is worth a total of 100 points. There are twice as many 2-point questions as 5-point questions on the test. How many 2-point questions are on the test?
3.Write a series of equations that could be used to solve this. define your varbibles


4.Solveby any algebraic method. Work must be shown.

Answer 1

Answer:

The test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.

Step-by-step explanation:

Since, on a 28-question test, there are 2-point questions, 4-point questions, and 5-point questions, the test is worth a total of 100 points and there are twice as many 2-point questions as 5- point questions on the test, to determine how many 2-point questions are on the test, the following calculation must be performed:

18 x 2 + 9 x 5 + 1 x 4 = 36 + 45 + 4 = 85

16 x 2 + 8 x 5 + 4 x 4 = 32 + 40 + 16 = 88

14 x 2 + 7 x 5 + 7 x 4 = 28 + 35 + 28 = 91

12 x 2 + 6 x 5 + 10 x 4 = 24 + 30 + 40 = 94

10 x 2 + 5 x 5 + 13 x 4 = 20 + 25 + 52 = 97

8 x 2 + 4 x 5 + 16 x 4 = 16 + 20 + 64 = 100

Thus, the test has 8 questions of 2 points, as well as 16 of 4 points and 4 of 5 points.