Let 'x' be the problems worth 2 points.
Let 'y' be the problems worth 3 points.
Since, there are 38 total problems.
So, (equation 1)
x = 38-y
Since, a perfect score is 100 points.
So, (equation 2)
Substituting the value of 'x', we get
y = 24
x+y = 38
x = 38-24 = 14
So, 14 problems are worth 2 points and 24 problems are worth 3 points.
Answer:
The bus route from Springfield to Burlington is 172.5 miles long.
Step-by-step explanation:
Let the distance of the bus route be x.
Distance covered by bus from Springfield to Burlington = x
Distance covered by bus from Burlington to Springfield = x
Distance covered in 1 round = x + x = 2x
Total distance covered by bus in 9 round = 9 × 2x = 18x
Given that bus traveled a total distance of 3,105 miles
The bus route from Springfield to Burlington is 172.5 miles long.