Respuesta :
Answer:
5 questions.
Step-by-step explanation:
Let's denote the number of questions Dustin answered in the first round as "a" and in the second round as "b."
The total number of questions is 8: a + b = 8 ...........(equation 1)
The total points Dustin earned is 35: 1a + 10b = 35 ...........(equation 2)
Now, we can solve these equations to find the values of a and b.
From equation 1, express a in terms of b: a = 8 - b
Substitute this expression for an into equation 2: 1(8 - b) + 10b = 35
Simplify:
8 - b + 10b = 35
Combine like terms: 9b = 27
Divide by 9: b = 3
Now that we know b, substitute it back into equation 1 to find a: a + 3 = Subtract 3 from both sides: a = 5
So, Dustin answered 5 questions in the first round (worth 1 point each) and 3 questions in the second round (worth 10 points each).
