Answer:
Let t = two-point questions and f = five-point questions
Here's what we know:
t + f = 50 (there are a total of 50 total questions)
2t + 5f = 145 (the total points equals 145)
Let's solve via elimination. Multiply the first equation by -2:
-2t - 2f = -100
2t + 5f = 145
-------------------
3f = 45
Divide by 3:
f = 15
t + 15 = 50
t = 35
check:
2 * 35 + 5 * 15 = 145
70 + 75 = 145
145 = 145
Step-by-step explanation:
