Answer:
Step-by-step explanation:
Let T stand for the number of 2 point questions and F for the number of 4 point questions.
We are told that:
2T + 4F = 100 {The total score is the sum of 2 and 4 point questions times their point values]
and that
T + F = 35 [the total number of questions is 35]
Rearrange the last equation to solve for either T or F, and substitute that into the first equation:
T = 35 - F
--
2T + 4F = 100
2(35-F) + 4F = 100
70 - 2F +4F = 100
2F = 30
F = 15
Since T + F = 35, T = 20
Check:
2-Point Questions: 20*2 = 40
4-Point Questions: 15*4 = 60
Total test is 100 points
