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.
